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Finding the Fourth Proportional to 460,750.30, 635,886.96 and 256,819.84

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Solution

The fourth proportional to 460,750.30, 635,886.96 and 256,819.84 is: 354,440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,750.30 : 635,886.96 = 256,819.84 : x
  2. Step 2: Convert to fraction form
    460,750.30/635,886.96 = 256,819.84/x
  3. Step 3: Cross multiply
    460,750.30x = 635,886.96 × 256,819.84
  4. Step 4: Simplify right side
    460,750.30x = 163,308,387,325.29
  5. Step 5: Solve for x
    x = 163,308,387,325.29/460,750.30
  6. Step 6: Final answer
    x = 354,440.11

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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.