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Finding the Fourth Proportional to 361,713.80, 542,417.10 and 174,782.60

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Solution

The fourth proportional to 361,713.80, 542,417.10 and 174,782.60 is: 262,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,713.80 : 542,417.10 = 174,782.60 : x
  2. Step 2: Convert to fraction form
    361,713.80/542,417.10 = 174,782.60/x
  3. Step 3: Cross multiply
    361,713.80x = 542,417.10 × 174,782.60
  4. Step 4: Simplify right side
    361,713.80x = 94,805,071,022.46
  5. Step 5: Solve for x
    x = 94,805,071,022.46/361,713.80
  6. Step 6: Final answer
    x = 262,099.68

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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.