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Finding the Fourth Proportional to 588,001.80, 879,929.10 and 409,672.20

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Solution

The fourth proportional to 588,001.80, 879,929.10 and 409,672.20 is: 613,063.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,001.80 : 879,929.10 = 409,672.20 : x
  2. Step 2: Convert to fraction form
    588,001.80/879,929.10 = 409,672.20/x
  3. Step 3: Cross multiply
    588,001.80x = 879,929.10 × 409,672.20
  4. Step 4: Simplify right side
    588,001.80x = 360,482,490,241.02
  5. Step 5: Solve for x
    x = 360,482,490,241.02/588,001.80
  6. Step 6: Final answer
    x = 613,063.58

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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.