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Finding the Fourth Proportional to 460,731.80, 635,861.32 and 256,801.34

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Solution

The fourth proportional to 460,731.80, 635,861.32 and 256,801.34 is: 354,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,731.80 : 635,861.32 = 256,801.34 : x
  2. Step 2: Convert to fraction form
    460,731.80/635,861.32 = 256,801.34/x
  3. Step 3: Cross multiply
    460,731.80x = 635,861.32 × 256,801.34
  4. Step 4: Simplify right side
    460,731.80x = 163,290,039,030.17
  5. Step 5: Solve for x
    x = 163,290,039,030.17/460,731.80
  6. Step 6: Final answer
    x = 354,414.52

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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.