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Finding the Fourth Proportional to 399,232.60, 597,974.10 and 346,744.60

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Solution

The fourth proportional to 399,232.60, 597,974.10 and 346,744.60 is: 519,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,232.60 : 597,974.10 = 346,744.60 : x
  2. Step 2: Convert to fraction form
    399,232.60/597,974.10 = 346,744.60/x
  3. Step 3: Cross multiply
    399,232.60x = 597,974.10 × 346,744.60
  4. Step 4: Simplify right side
    399,232.60x = 207,344,290,114.86
  5. Step 5: Solve for x
    x = 207,344,290,114.86/399,232.60
  6. Step 6: Final answer
    x = 519,357.11

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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.