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Finding the Fourth Proportional to 331,567.40, 497,298.30 and 109,951.40

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Solution

The fourth proportional to 331,567.40, 497,298.30 and 109,951.40 is: 164,909.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,567.40 : 497,298.30 = 109,951.40 : x
  2. Step 2: Convert to fraction form
    331,567.40/497,298.30 = 109,951.40/x
  3. Step 3: Cross multiply
    331,567.40x = 497,298.30 × 109,951.40
  4. Step 4: Simplify right side
    331,567.40x = 54,678,644,302.62
  5. Step 5: Solve for x
    x = 54,678,644,302.62/331,567.40
  6. Step 6: Final answer
    x = 164,909.59

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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.