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Finding the Fourth Proportional to 492,507.84, 738,761.92 and 118,530.84

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Solution

The fourth proportional to 492,507.84, 738,761.92 and 118,530.84 is: 177,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,507.84 : 738,761.92 = 118,530.84 : x
  2. Step 2: Convert to fraction form
    492,507.84/738,761.92 = 118,530.84/x
  3. Step 3: Cross multiply
    492,507.84x = 738,761.92 × 118,530.84
  4. Step 4: Simplify right side
    492,507.84x = 87,566,070,937.61
  5. Step 5: Solve for x
    x = 87,566,070,937.61/492,507.84
  6. Step 6: Final answer
    x = 177,796.30

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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.