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Finding the Fourth Proportional to 334,695.20, 502,042.80 and 157,324.64

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Solution

The fourth proportional to 334,695.20, 502,042.80 and 157,324.64 is: 235,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,695.20 : 502,042.80 = 157,324.64 : x
  2. Step 2: Convert to fraction form
    334,695.20/502,042.80 = 157,324.64/x
  3. Step 3: Cross multiply
    334,695.20x = 502,042.80 × 157,324.64
  4. Step 4: Simplify right side
    334,695.20x = 78,983,702,774.59
  5. Step 5: Solve for x
    x = 78,983,702,774.59/334,695.20
  6. Step 6: Final answer
    x = 235,986.96

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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.