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Finding the Fourth Proportional to 484,517.89, 727,959.44 and 457,661.53

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Solution

The fourth proportional to 484,517.89, 727,959.44 and 457,661.53 is: 687,609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,517.89 : 727,959.44 = 457,661.53 : x
  2. Step 2: Convert to fraction form
    484,517.89/727,959.44 = 457,661.53/x
  3. Step 3: Cross multiply
    484,517.89x = 727,959.44 × 457,661.53
  4. Step 4: Simplify right side
    484,517.89x = 333,159,031,088.34
  5. Step 5: Solve for x
    x = 333,159,031,088.34/484,517.89
  6. Step 6: Final answer
    x = 687,609.35

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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.