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Finding the Fourth Proportional to 418,648.68, 577,125.54 and 317,871.72

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Solution

The fourth proportional to 418,648.68, 577,125.54 and 317,871.72 is: 438,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,648.68 : 577,125.54 = 317,871.72 : x
  2. Step 2: Convert to fraction form
    418,648.68/577,125.54 = 317,871.72/x
  3. Step 3: Cross multiply
    418,648.68x = 577,125.54 × 317,871.72
  4. Step 4: Simplify right side
    418,648.68x = 183,451,888,055.73
  5. Step 5: Solve for x
    x = 183,451,888,055.73/418,648.68
  6. Step 6: Final answer
    x = 438,200.09

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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.