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Finding the Fourth Proportional to 334,872.40, 502,357.20 and 157,385.20

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Solution

The fourth proportional to 334,872.40, 502,357.20 and 157,385.20 is: 236,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,872.40 : 502,357.20 = 157,385.20 : x
  2. Step 2: Convert to fraction form
    334,872.40/502,357.20 = 157,385.20/x
  3. Step 3: Cross multiply
    334,872.40x = 502,357.20 × 157,385.20
  4. Step 4: Simplify right side
    334,872.40x = 79,063,588,393.44
  5. Step 5: Solve for x
    x = 79,063,588,393.44/334,872.40
  6. Step 6: Final answer
    x = 236,100.64

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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.