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Finding the Fourth Proportional to 713,657.56, 984,756.68 and 407,753.75

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Solution

The fourth proportional to 713,657.56, 984,756.68 and 407,753.75 is: 562,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,657.56 : 984,756.68 = 407,753.75 : x
  2. Step 2: Convert to fraction form
    713,657.56/984,756.68 = 407,753.75/x
  3. Step 3: Cross multiply
    713,657.56x = 984,756.68 × 407,753.75
  4. Step 4: Simplify right side
    713,657.56x = 401,538,227,068.78
  5. Step 5: Solve for x
    x = 401,538,227,068.78/713,657.56
  6. Step 6: Final answer
    x = 562,648.32

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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.