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Finding the Fourth Proportional to 509,381.20, 764,417.40 and 331,454.80

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Solution

The fourth proportional to 509,381.20, 764,417.40 and 331,454.80 is: 497,407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,381.20 : 764,417.40 = 331,454.80 : x
  2. Step 2: Convert to fraction form
    509,381.20/764,417.40 = 331,454.80/x
  3. Step 3: Cross multiply
    509,381.20x = 764,417.40 × 331,454.80
  4. Step 4: Simplify right side
    509,381.20x = 253,369,816,433.52
  5. Step 5: Solve for x
    x = 253,369,816,433.52/509,381.20
  6. Step 6: Final answer
    x = 497,407.08

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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.