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Finding the Fourth Proportional to 334,637.76, 502,031.52 and 113,016

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Solution

The fourth proportional to 334,637.76, 502,031.52 and 113,016 is: 169,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,637.76 : 502,031.52 = 113,016 : x
  2. Step 2: Convert to fraction form
    334,637.76/502,031.52 = 113,016/x
  3. Step 3: Cross multiply
    334,637.76x = 502,031.52 × 113,016
  4. Step 4: Simplify right side
    334,637.76x = 56,737,594,264.32
  5. Step 5: Solve for x
    x = 56,737,594,264.32/334,637.76
  6. Step 6: Final answer
    x = 169,549.29

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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.