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Finding the Fourth Proportional to 460,677.53, 635,726.35 and 256,723.96

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Solution

The fourth proportional to 460,677.53, 635,726.35 and 256,723.96 is: 354,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,677.53 : 635,726.35 = 256,723.96 : x
  2. Step 2: Convert to fraction form
    460,677.53/635,726.35 = 256,723.96/x
  3. Step 3: Cross multiply
    460,677.53x = 635,726.35 × 256,723.96
  4. Step 4: Simplify right side
    460,677.53x = 163,206,186,048.35
  5. Step 5: Solve for x
    x = 163,206,186,048.35/460,677.53
  6. Step 6: Final answer
    x = 354,274.25

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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.