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Finding the Fourth Proportional to 506,512.14, 699,124.95 and 315,412.62

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Solution

The fourth proportional to 506,512.14, 699,124.95 and 315,412.62 is: 435,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,512.14 : 699,124.95 = 315,412.62 : x
  2. Step 2: Convert to fraction form
    506,512.14/699,124.95 = 315,412.62/x
  3. Step 3: Cross multiply
    506,512.14x = 699,124.95 × 315,412.62
  4. Step 4: Simplify right side
    506,512.14x = 220,512,832,186.87
  5. Step 5: Solve for x
    x = 220,512,832,186.87/506,512.14
  6. Step 6: Final answer
    x = 435,355.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.