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Finding the Fourth Proportional to 532,105.68, 734,321.28 and 290,403.76

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Solution

The fourth proportional to 532,105.68, 734,321.28 and 290,403.76 is: 400,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,105.68 : 734,321.28 = 290,403.76 : x
  2. Step 2: Convert to fraction form
    532,105.68/734,321.28 = 290,403.76/x
  3. Step 3: Cross multiply
    532,105.68x = 734,321.28 × 290,403.76
  4. Step 4: Simplify right side
    532,105.68x = 213,249,660,760.01
  5. Step 5: Solve for x
    x = 213,249,660,760.01/532,105.68
  6. Step 6: Final answer
    x = 400,765.62

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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.