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Finding the Fourth Proportional to 291,265.80, 436,023.90 and 172,876.20

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Solution

The fourth proportional to 291,265.80, 436,023.90 and 172,876.20 is: 258,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,265.80 : 436,023.90 = 172,876.20 : x
  2. Step 2: Convert to fraction form
    291,265.80/436,023.90 = 172,876.20/x
  3. Step 3: Cross multiply
    291,265.80x = 436,023.90 × 172,876.20
  4. Step 4: Simplify right side
    291,265.80x = 75,378,154,941.18
  5. Step 5: Solve for x
    x = 75,378,154,941.18/291,265.80
  6. Step 6: Final answer
    x = 258,795.08

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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.