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Finding the Fourth Proportional to 258,909.12, 357,497.28 and 202,481.28

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Solution

The fourth proportional to 258,909.12, 357,497.28 and 202,481.28 is: 279,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,909.12 : 357,497.28 = 202,481.28 : x
  2. Step 2: Convert to fraction form
    258,909.12/357,497.28 = 202,481.28/x
  3. Step 3: Cross multiply
    258,909.12x = 357,497.28 × 202,481.28
  4. Step 4: Simplify right side
    258,909.12x = 72,386,506,850.92
  5. Step 5: Solve for x
    x = 72,386,506,850.92/258,909.12
  6. Step 6: Final answer
    x = 279,582.68

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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.