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Finding the Fourth Proportional to 435,744.40, 653,616.60 and 346,514.80

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Solution

The fourth proportional to 435,744.40, 653,616.60 and 346,514.80 is: 519,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,744.40 : 653,616.60 = 346,514.80 : x
  2. Step 2: Convert to fraction form
    435,744.40/653,616.60 = 346,514.80/x
  3. Step 3: Cross multiply
    435,744.40x = 653,616.60 × 346,514.80
  4. Step 4: Simplify right side
    435,744.40x = 226,487,825,425.68
  5. Step 5: Solve for x
    x = 226,487,825,425.68/435,744.40
  6. Step 6: Final answer
    x = 519,772.20

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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.