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Finding the Fourth Proportional to 462,031.32, 637,608.54 and 271,047.96

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Solution

The fourth proportional to 462,031.32, 637,608.54 and 271,047.96 is: 374,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,031.32 : 637,608.54 = 271,047.96 : x
  2. Step 2: Convert to fraction form
    462,031.32/637,608.54 = 271,047.96/x
  3. Step 3: Cross multiply
    462,031.32x = 637,608.54 × 271,047.96
  4. Step 4: Simplify right side
    462,031.32x = 172,822,494,045.58
  5. Step 5: Solve for x
    x = 172,822,494,045.58/462,031.32
  6. Step 6: Final answer
    x = 374,049.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.