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Finding the Fourth Proportional to 484,516.89, 727,957.94 and 457,660.53

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Solution

The fourth proportional to 484,516.89, 727,957.94 and 457,660.53 is: 687,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,516.89 : 727,957.94 = 457,660.53 : x
  2. Step 2: Convert to fraction form
    484,516.89/727,957.94 = 457,660.53/x
  3. Step 3: Cross multiply
    484,516.89x = 727,957.94 × 457,660.53
  4. Step 4: Simplify right side
    484,516.89x = 333,157,614,349.81
  5. Step 5: Solve for x
    x = 333,157,614,349.81/484,516.89
  6. Step 6: Final answer
    x = 687,607.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.