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Finding the Fourth Proportional to 435,209.80, 652,814.70 and 285,910.60

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Solution

The fourth proportional to 435,209.80, 652,814.70 and 285,910.60 is: 428,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,209.80 : 652,814.70 = 285,910.60 : x
  2. Step 2: Convert to fraction form
    435,209.80/652,814.70 = 285,910.60/x
  3. Step 3: Cross multiply
    435,209.80x = 652,814.70 × 285,910.60
  4. Step 4: Simplify right side
    435,209.80x = 186,646,642,565.82
  5. Step 5: Solve for x
    x = 186,646,642,565.82/435,209.80
  6. Step 6: Final answer
    x = 428,865.90

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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.