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Finding the Fourth Proportional to 506,743.70, 760,115.55 and 465,409.40

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Solution

The fourth proportional to 506,743.70, 760,115.55 and 465,409.40 is: 698,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,743.70 : 760,115.55 = 465,409.40 : x
  2. Step 2: Convert to fraction form
    506,743.70/760,115.55 = 465,409.40/x
  3. Step 3: Cross multiply
    506,743.70x = 760,115.55 × 465,409.40
  4. Step 4: Simplify right side
    506,743.70x = 353,764,922,056.17
  5. Step 5: Solve for x
    x = 353,764,922,056.17/506,743.70
  6. Step 6: Final answer
    x = 698,114.10

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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.