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Finding the Fourth Proportional to 414,849.60, 572,624.64 and 271,382.40

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Solution

The fourth proportional to 414,849.60, 572,624.64 and 271,382.40 is: 374,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,849.60 : 572,624.64 = 271,382.40 : x
  2. Step 2: Convert to fraction form
    414,849.60/572,624.64 = 271,382.40/x
  3. Step 3: Cross multiply
    414,849.60x = 572,624.64 × 271,382.40
  4. Step 4: Simplify right side
    414,849.60x = 155,400,249,102.34
  5. Step 5: Solve for x
    x = 155,400,249,102.34/414,849.60
  6. Step 6: Final answer
    x = 374,594.19

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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.