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Finding the Fourth Proportional to 392,053.60, 588,010.14 and 103,867.24

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Solution

The fourth proportional to 392,053.60, 588,010.14 and 103,867.24 is: 155,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,053.60 : 588,010.14 = 103,867.24 : x
  2. Step 2: Convert to fraction form
    392,053.60/588,010.14 = 103,867.24/x
  3. Step 3: Cross multiply
    392,053.60x = 588,010.14 × 103,867.24
  4. Step 4: Simplify right side
    392,053.60x = 61,074,990,333.81
  5. Step 5: Solve for x
    x = 61,074,990,333.81/392,053.60
  6. Step 6: Final answer
    x = 155,782.25

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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.