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Finding the Fourth Proportional to 713,734.68, 984,951.86 and 407,905.97

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Solution

The fourth proportional to 713,734.68, 984,951.86 and 407,905.97 is: 562,909.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,734.68 : 984,951.86 = 407,905.97 : x
  2. Step 2: Convert to fraction form
    713,734.68/984,951.86 = 407,905.97/x
  3. Step 3: Cross multiply
    713,734.68x = 984,951.86 × 407,905.97
  4. Step 4: Simplify right side
    713,734.68x = 401,767,736,892.32
  5. Step 5: Solve for x
    x = 401,767,736,892.32/713,734.68
  6. Step 6: Final answer
    x = 562,909.09

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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.