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Finding the Fourth Proportional to 504,065.40, 756,098.10 and 457,409.40

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Solution

The fourth proportional to 504,065.40, 756,098.10 and 457,409.40 is: 686,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,065.40 : 756,098.10 = 457,409.40 : x
  2. Step 2: Convert to fraction form
    504,065.40/756,098.10 = 457,409.40/x
  3. Step 3: Cross multiply
    504,065.40x = 756,098.10 × 457,409.40
  4. Step 4: Simplify right side
    504,065.40x = 345,846,378,262.14
  5. Step 5: Solve for x
    x = 345,846,378,262.14/504,065.40
  6. Step 6: Final answer
    x = 686,114.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.