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Finding the Fourth Proportional to 365,498.98, 547,682 and 253,397.14

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Solution

The fourth proportional to 365,498.98, 547,682 and 253,397.14 is: 379,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,498.98 : 547,682 = 253,397.14 : x
  2. Step 2: Convert to fraction form
    365,498.98/547,682 = 253,397.14/x
  3. Step 3: Cross multiply
    365,498.98x = 547,682 × 253,397.14
  4. Step 4: Simplify right side
    365,498.98x = 138,781,052,429.48
  5. Step 5: Solve for x
    x = 138,781,052,429.48/365,498.98
  6. Step 6: Final answer
    x = 379,702.98

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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.