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Finding the Fourth Proportional to 261,414.54, 360,463.90 and 180,701.94

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Solution

The fourth proportional to 261,414.54, 360,463.90 and 180,701.94 is: 249,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,414.54 : 360,463.90 = 180,701.94 : x
  2. Step 2: Convert to fraction form
    261,414.54/360,463.90 = 180,701.94/x
  3. Step 3: Cross multiply
    261,414.54x = 360,463.90 × 180,701.94
  4. Step 4: Simplify right side
    261,414.54x = 65,136,526,029.97
  5. Step 5: Solve for x
    x = 65,136,526,029.97/261,414.54
  6. Step 6: Final answer
    x = 249,169.48

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1.5x scale

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.