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Finding the Fourth Proportional to 296,585.30, 443,841.15 and 271,702.10

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Solution

The fourth proportional to 296,585.30, 443,841.15 and 271,702.10 is: 406,603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,585.30 : 443,841.15 = 271,702.10 : x
  2. Step 2: Convert to fraction form
    296,585.30/443,841.15 = 271,702.10/x
  3. Step 3: Cross multiply
    296,585.30x = 443,841.15 × 271,702.10
  4. Step 4: Simplify right side
    296,585.30x = 120,592,572,521.42
  5. Step 5: Solve for x
    x = 120,592,572,521.42/296,585.30
  6. Step 6: Final answer
    x = 406,603.34

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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.