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Finding the Fourth Proportional to 389,848.80, 584,773.20 and 329,023.20

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Solution

The fourth proportional to 389,848.80, 584,773.20 and 329,023.20 is: 493,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,848.80 : 584,773.20 = 329,023.20 : x
  2. Step 2: Convert to fraction form
    389,848.80/584,773.20 = 329,023.20/x
  3. Step 3: Cross multiply
    389,848.80x = 584,773.20 × 329,023.20
  4. Step 4: Simplify right side
    389,848.80x = 192,403,949,538.24
  5. Step 5: Solve for x
    x = 192,403,949,538.24/389,848.80
  6. Step 6: Final answer
    x = 493,534.80

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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.