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Finding the Fourth Proportional to 493,700.24, 740,397.22 and 178,116.12

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Solution

The fourth proportional to 493,700.24, 740,397.22 and 178,116.12 is: 267,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,700.24 : 740,397.22 = 178,116.12 : x
  2. Step 2: Convert to fraction form
    493,700.24/740,397.22 = 178,116.12/x
  3. Step 3: Cross multiply
    493,700.24x = 740,397.22 × 178,116.12
  4. Step 4: Simplify right side
    493,700.24x = 131,876,680,085.19
  5. Step 5: Solve for x
    x = 131,876,680,085.19/493,700.24
  6. Step 6: Final answer
    x = 267,118.93

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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.