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Finding the Fourth Proportional to 359,672.40, 496,043.19 and 216,405.68

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Solution

The fourth proportional to 359,672.40, 496,043.19 and 216,405.68 is: 298,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,672.40 : 496,043.19 = 216,405.68 : x
  2. Step 2: Convert to fraction form
    359,672.40/496,043.19 = 216,405.68/x
  3. Step 3: Cross multiply
    359,672.40x = 496,043.19 × 216,405.68
  4. Step 4: Simplify right side
    359,672.40x = 107,346,561,361.10
  5. Step 5: Solve for x
    x = 107,346,561,361.10/359,672.40
  6. Step 6: Final answer
    x = 298,456.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.