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Finding the Fourth Proportional to 389,798.12, 584,648.58 and 109,337.24

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Solution

The fourth proportional to 389,798.12, 584,648.58 and 109,337.24 is: 163,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,798.12 : 584,648.58 = 109,337.24 : x
  2. Step 2: Convert to fraction form
    389,798.12/584,648.58 = 109,337.24/x
  3. Step 3: Cross multiply
    389,798.12x = 584,648.58 × 109,337.24
  4. Step 4: Simplify right side
    389,798.12x = 63,923,862,107.12
  5. Step 5: Solve for x
    x = 63,923,862,107.12/389,798.12
  6. Step 6: Final answer
    x = 163,992.23

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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.