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Finding the Fourth Proportional to 678,781.69, 936,688.45 and 406,999.56

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Solution

The fourth proportional to 678,781.69, 936,688.45 and 406,999.56 is: 561,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,781.69 : 936,688.45 = 406,999.56 : x
  2. Step 2: Convert to fraction form
    678,781.69/936,688.45 = 406,999.56/x
  3. Step 3: Cross multiply
    678,781.69x = 936,688.45 × 406,999.56
  4. Step 4: Simplify right side
    678,781.69x = 381,231,787,007.08
  5. Step 5: Solve for x
    x = 381,231,787,007.08/678,781.69
  6. Step 6: Final answer
    x = 561,641.24

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1.5x scale

Why These Related Problems?

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