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Finding the Fourth Proportional to 460,686.60, 635,769.18 and 269,761.50

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Solution

The fourth proportional to 460,686.60, 635,769.18 and 269,761.50 is: 372,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,686.60 : 635,769.18 = 269,761.50 : x
  2. Step 2: Convert to fraction form
    460,686.60/635,769.18 = 269,761.50/x
  3. Step 3: Cross multiply
    460,686.60x = 635,769.18 × 269,761.50
  4. Step 4: Simplify right side
    460,686.60x = 171,506,047,650.57
  5. Step 5: Solve for x
    x = 171,506,047,650.57/460,686.60
  6. Step 6: Final answer
    x = 372,283.56

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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.