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Finding the Fourth Proportional to 460,752.97, 635,842.23 and 256,817.02

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Solution

The fourth proportional to 460,752.97, 635,842.23 and 256,817.02 is: 354,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,752.97 : 635,842.23 = 256,817.02 : x
  2. Step 2: Convert to fraction form
    460,752.97/635,842.23 = 256,817.02/x
  3. Step 3: Cross multiply
    460,752.97x = 635,842.23 × 256,817.02
  4. Step 4: Simplify right side
    460,752.97x = 163,295,102,235.46
  5. Step 5: Solve for x
    x = 163,295,102,235.46/460,752.97
  6. Step 6: Final answer
    x = 354,409.22

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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.