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Finding the Fourth Proportional to 415,542.40, 573,499.02 and 234,289.24

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Solution

The fourth proportional to 415,542.40, 573,499.02 and 234,289.24 is: 323,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,542.40 : 573,499.02 = 234,289.24 : x
  2. Step 2: Convert to fraction form
    415,542.40/573,499.02 = 234,289.24/x
  3. Step 3: Cross multiply
    415,542.40x = 573,499.02 × 234,289.24
  4. Step 4: Simplify right side
    415,542.40x = 134,364,649,536.55
  5. Step 5: Solve for x
    x = 134,364,649,536.55/415,542.40
  6. Step 6: Final answer
    x = 323,347.63

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