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Finding the Fourth Proportional to 461,763.24, 692,714.10 and 162,191.02

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Solution

The fourth proportional to 461,763.24, 692,714.10 and 162,191.02 is: 243,310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,763.24 : 692,714.10 = 162,191.02 : x
  2. Step 2: Convert to fraction form
    461,763.24/692,714.10 = 162,191.02/x
  3. Step 3: Cross multiply
    461,763.24x = 692,714.10 × 162,191.02
  4. Step 4: Simplify right side
    461,763.24x = 112,352,006,447.38
  5. Step 5: Solve for x
    x = 112,352,006,447.38/461,763.24
  6. Step 6: Final answer
    x = 243,310.85

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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.