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Finding the Fourth Proportional to 504,063.40, 756,095.10 and 457,407.40

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Solution

The fourth proportional to 504,063.40, 756,095.10 and 457,407.40 is: 686,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,063.40 : 756,095.10 = 457,407.40 : x
  2. Step 2: Convert to fraction form
    504,063.40/756,095.10 = 457,407.40/x
  3. Step 3: Cross multiply
    504,063.40x = 756,095.10 × 457,407.40
  4. Step 4: Simplify right side
    504,063.40x = 345,843,493,843.74
  5. Step 5: Solve for x
    x = 345,843,493,843.74/504,063.40
  6. Step 6: Final answer
    x = 686,111.10

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