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Finding the Fourth Proportional to 701,125.68, 968,020.56 and 414,737.76

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Solution

The fourth proportional to 701,125.68, 968,020.56 and 414,737.76 is: 572,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,125.68 : 968,020.56 = 414,737.76 : x
  2. Step 2: Convert to fraction form
    701,125.68/968,020.56 = 414,737.76/x
  3. Step 3: Cross multiply
    701,125.68x = 968,020.56 × 414,737.76
  4. Step 4: Simplify right side
    701,125.68x = 401,474,678,688.35
  5. Step 5: Solve for x
    x = 401,474,678,688.35/701,125.68
  6. Step 6: Final answer
    x = 572,614.43

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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.