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Finding the Fourth Proportional to 493,532.90, 740,472.15 and 178,000.10

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Solution

The fourth proportional to 493,532.90, 740,472.15 and 178,000.10 is: 267,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,532.90 : 740,472.15 = 178,000.10 : x
  2. Step 2: Convert to fraction form
    493,532.90/740,472.15 = 178,000.10/x
  3. Step 3: Cross multiply
    493,532.90x = 740,472.15 × 178,000.10
  4. Step 4: Simplify right side
    493,532.90x = 131,804,116,747.22
  5. Step 5: Solve for x
    x = 131,804,116,747.22/493,532.90
  6. Step 6: Final answer
    x = 267,062.47

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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.