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Finding the Fourth Proportional to 460,287.16, 635,150.87 and 256,357.10

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Solution

The fourth proportional to 460,287.16, 635,150.87 and 256,357.10 is: 353,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,287.16 : 635,150.87 = 256,357.10 : x
  2. Step 2: Convert to fraction form
    460,287.16/635,150.87 = 256,357.10/x
  3. Step 3: Cross multiply
    460,287.16x = 635,150.87 × 256,357.10
  4. Step 4: Simplify right side
    460,287.16x = 162,825,436,363.11
  5. Step 5: Solve for x
    x = 162,825,436,363.11/460,287.16
  6. Step 6: Final answer
    x = 353,747.51

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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.