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Finding the Fourth Proportional to 524,654.72, 724,023.60 and 298,314.08

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Solution

The fourth proportional to 524,654.72, 724,023.60 and 298,314.08 is: 411,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,654.72 : 724,023.60 = 298,314.08 : x
  2. Step 2: Convert to fraction form
    524,654.72/724,023.60 = 298,314.08/x
  3. Step 3: Cross multiply
    524,654.72x = 724,023.60 × 298,314.08
  4. Step 4: Simplify right side
    524,654.72x = 215,986,434,132.29
  5. Step 5: Solve for x
    x = 215,986,434,132.29/524,654.72
  6. Step 6: Final answer
    x = 411,673.48

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Why These Related Problems?

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