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Finding the Fourth Proportional to 435,575.86, 652,488.98 and 198,592.54

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Solution

The fourth proportional to 435,575.86, 652,488.98 and 198,592.54 is: 297,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,575.86 : 652,488.98 = 198,592.54 : x
  2. Step 2: Convert to fraction form
    435,575.86/652,488.98 = 198,592.54/x
  3. Step 3: Cross multiply
    435,575.86x = 652,488.98 × 198,592.54
  4. Step 4: Simplify right side
    435,575.86x = 129,579,443,860.21
  5. Step 5: Solve for x
    x = 129,579,443,860.21/435,575.86
  6. Step 6: Final answer
    x = 297,489.96

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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.