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Finding the Fourth Proportional to 362,613.40, 542,844.90 and 269,531.80

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Solution

The fourth proportional to 362,613.40, 542,844.90 and 269,531.80 is: 403,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,613.40 : 542,844.90 = 269,531.80 : x
  2. Step 2: Convert to fraction form
    362,613.40/542,844.90 = 269,531.80/x
  3. Step 3: Cross multiply
    362,613.40x = 542,844.90 × 269,531.80
  4. Step 4: Simplify right side
    362,613.40x = 146,313,963,017.82
  5. Step 5: Solve for x
    x = 146,313,963,017.82/362,613.40
  6. Step 6: Final answer
    x = 403,498.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.