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Finding the Fourth Proportional to 561,306.45, 842,590.65 and 224,584.65

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Solution

The fourth proportional to 561,306.45, 842,590.65 and 224,584.65 is: 337,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,306.45 : 842,590.65 = 224,584.65 : x
  2. Step 2: Convert to fraction form
    561,306.45/842,590.65 = 224,584.65/x
  3. Step 3: Cross multiply
    561,306.45x = 842,590.65 × 224,584.65
  4. Step 4: Simplify right side
    561,306.45x = 189,232,926,223.52
  5. Step 5: Solve for x
    x = 189,232,926,223.52/561,306.45
  6. Step 6: Final answer
    x = 337,129.43

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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.