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Finding the Fourth Proportional to 460,696.38, 635,470.02 and 317,207.22

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Solution

The fourth proportional to 460,696.38, 635,470.02 and 317,207.22 is: 437,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,696.38 : 635,470.02 = 317,207.22 : x
  2. Step 2: Convert to fraction form
    460,696.38/635,470.02 = 317,207.22/x
  3. Step 3: Cross multiply
    460,696.38x = 635,470.02 × 317,207.22
  4. Step 4: Simplify right side
    460,696.38x = 201,575,678,437.54
  5. Step 5: Solve for x
    x = 201,575,678,437.54/460,696.38
  6. Step 6: Final answer
    x = 437,545.61

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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.