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Finding the Fourth Proportional to 527,807.78, 791,590.25 and 314,635.88

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Solution

The fourth proportional to 527,807.78, 791,590.25 and 314,635.88 is: 471,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,807.78 : 791,590.25 = 314,635.88 : x
  2. Step 2: Convert to fraction form
    527,807.78/791,590.25 = 314,635.88/x
  3. Step 3: Cross multiply
    527,807.78x = 791,590.25 × 314,635.88
  4. Step 4: Simplify right side
    527,807.78x = 249,062,694,908.17
  5. Step 5: Solve for x
    x = 249,062,694,908.17/527,807.78
  6. Step 6: Final answer
    x = 471,881.44

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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.