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Finding the Fourth Proportional to 283,291.80, 424,062.90 and 164,610.60

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Solution

The fourth proportional to 283,291.80, 424,062.90 and 164,610.60 is: 246,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,291.80 : 424,062.90 = 164,610.60 : x
  2. Step 2: Convert to fraction form
    283,291.80/424,062.90 = 164,610.60/x
  3. Step 3: Cross multiply
    283,291.80x = 424,062.90 × 164,610.60
  4. Step 4: Simplify right side
    283,291.80x = 69,805,248,406.74
  5. Step 5: Solve for x
    x = 69,805,248,406.74/283,291.80
  6. Step 6: Final answer
    x = 246,407.59

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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.