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Finding the Fourth Proportional to 460,493.80, 635,501.06 and 256,544.61

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Solution

The fourth proportional to 460,493.80, 635,501.06 and 256,544.61 is: 354,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,493.80 : 635,501.06 = 256,544.61 : x
  2. Step 2: Convert to fraction form
    460,493.80/635,501.06 = 256,544.61/x
  3. Step 3: Cross multiply
    460,493.80x = 635,501.06 × 256,544.61
  4. Step 4: Simplify right side
    460,493.80x = 163,034,371,592.29
  5. Step 5: Solve for x
    x = 163,034,371,592.29/460,493.80
  6. Step 6: Final answer
    x = 354,042.49

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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.