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Finding the Fourth Proportional to 516,219, 712,073.32 and 324,900.24

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Solution

The fourth proportional to 516,219, 712,073.32 and 324,900.24 is: 448,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,219 : 712,073.32 = 324,900.24 : x
  2. Step 2: Convert to fraction form
    516,219/712,073.32 = 324,900.24/x
  3. Step 3: Cross multiply
    516,219x = 712,073.32 × 324,900.24
  4. Step 4: Simplify right side
    516,219x = 231,352,792,565.60
  5. Step 5: Solve for x
    x = 231,352,792,565.60/516,219
  6. Step 6: Final answer
    x = 448,167.91

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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.