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Finding the Fourth Proportional to 527,847.67, 791,764.10 and 208,002.32

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Solution

The fourth proportional to 527,847.67, 791,764.10 and 208,002.32 is: 312,000.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,847.67 : 791,764.10 = 208,002.32 : x
  2. Step 2: Convert to fraction form
    527,847.67/791,764.10 = 208,002.32/x
  3. Step 3: Cross multiply
    527,847.67x = 791,764.10 × 208,002.32
  4. Step 4: Simplify right side
    527,847.67x = 164,688,769,692.71
  5. Step 5: Solve for x
    x = 164,688,769,692.71/527,847.67
  6. Step 6: Final answer
    x = 312,000.56

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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.