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Finding the Fourth Proportional to 442,881.85, 610,966.47 and 261,472.25

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Solution

The fourth proportional to 442,881.85, 610,966.47 and 261,472.25 is: 360,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,881.85 : 610,966.47 = 261,472.25 : x
  2. Step 2: Convert to fraction form
    442,881.85/610,966.47 = 261,472.25/x
  3. Step 3: Cross multiply
    442,881.85x = 610,966.47 × 261,472.25
  4. Step 4: Simplify right side
    442,881.85x = 159,750,779,358.00
  5. Step 5: Solve for x
    x = 159,750,779,358.00/442,881.85
  6. Step 6: Final answer
    x = 360,707.44

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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.