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Finding the Fourth Proportional to 541,098.60, 811,763.10 and 167,159.40

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Solution

The fourth proportional to 541,098.60, 811,763.10 and 167,159.40 is: 250,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,098.60 : 811,763.10 = 167,159.40 : x
  2. Step 2: Convert to fraction form
    541,098.60/811,763.10 = 167,159.40/x
  3. Step 3: Cross multiply
    541,098.60x = 811,763.10 × 167,159.40
  4. Step 4: Simplify right side
    541,098.60x = 135,693,832,738.14
  5. Step 5: Solve for x
    x = 135,693,832,738.14/541,098.60
  6. Step 6: Final answer
    x = 250,774.69

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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.