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Finding the Fourth Proportional to 460,275.92, 635,052.44 and 296,863.28

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Solution

The fourth proportional to 460,275.92, 635,052.44 and 296,863.28 is: 409,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,275.92 : 635,052.44 = 296,863.28 : x
  2. Step 2: Convert to fraction form
    460,275.92/635,052.44 = 296,863.28/x
  3. Step 3: Cross multiply
    460,275.92x = 635,052.44 × 296,863.28
  4. Step 4: Simplify right side
    460,275.92x = 188,523,750,310.40
  5. Step 5: Solve for x
    x = 188,523,750,310.40/460,275.92
  6. Step 6: Final answer
    x = 409,588.56

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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.