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Finding the Fourth Proportional to 460,641.65, 635,688 and 267,164.03

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Solution

The fourth proportional to 460,641.65, 635,688 and 267,164.03 is: 368,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,641.65 : 635,688 = 267,164.03 : x
  2. Step 2: Convert to fraction form
    460,641.65/635,688 = 267,164.03/x
  3. Step 3: Cross multiply
    460,641.65x = 635,688 × 267,164.03
  4. Step 4: Simplify right side
    460,641.65x = 169,832,969,491.86
  5. Step 5: Solve for x
    x = 169,832,969,491.86/460,641.65
  6. Step 6: Final answer
    x = 368,687.83

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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.