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Finding the Fourth Proportional to 460,767.58, 635,862.24 and 256,831.46

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Solution

The fourth proportional to 460,767.58, 635,862.24 and 256,831.46 is: 354,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,767.58 : 635,862.24 = 256,831.46 : x
  2. Step 2: Convert to fraction form
    460,767.58/635,862.24 = 256,831.46/x
  3. Step 3: Cross multiply
    460,767.58x = 635,862.24 × 256,831.46
  4. Step 4: Simplify right side
    460,767.58x = 163,309,427,458.07
  5. Step 5: Solve for x
    x = 163,309,427,458.07/460,767.58
  6. Step 6: Final answer
    x = 354,429.08

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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.