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Finding the Fourth Proportional to 538,967.10, 808,565.85 and 165,027.90

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Solution

The fourth proportional to 538,967.10, 808,565.85 and 165,027.90 is: 247,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,967.10 : 808,565.85 = 165,027.90 : x
  2. Step 2: Convert to fraction form
    538,967.10/808,565.85 = 165,027.90/x
  3. Step 3: Cross multiply
    538,967.10x = 808,565.85 × 165,027.90
  4. Step 4: Simplify right side
    538,967.10x = 133,435,924,237.22
  5. Step 5: Solve for x
    x = 133,435,924,237.22/538,967.10
  6. Step 6: Final answer
    x = 247,577.12

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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.