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Finding the Fourth Proportional to 527,808.78, 791,591.75 and 314,636.88

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Solution

The fourth proportional to 527,808.78, 791,591.75 and 314,636.88 is: 471,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,808.78 : 791,591.75 = 314,636.88 : x
  2. Step 2: Convert to fraction form
    527,808.78/791,591.75 = 314,636.88/x
  3. Step 3: Cross multiply
    527,808.78x = 791,591.75 × 314,636.88
  4. Step 4: Simplify right side
    527,808.78x = 249,063,958,453.74
  5. Step 5: Solve for x
    x = 249,063,958,453.74/527,808.78
  6. Step 6: Final answer
    x = 471,882.94

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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.