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Finding the Fourth Proportional to 392,298.86, 588,448.30 and 111,808.82

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Solution

The fourth proportional to 392,298.86, 588,448.30 and 111,808.82 is: 167,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,298.86 : 588,448.30 = 111,808.82 : x
  2. Step 2: Convert to fraction form
    392,298.86/588,448.30 = 111,808.82/x
  3. Step 3: Cross multiply
    392,298.86x = 588,448.30 × 111,808.82
  4. Step 4: Simplify right side
    392,298.86x = 65,793,710,054.01
  5. Step 5: Solve for x
    x = 65,793,710,054.01/392,298.86
  6. Step 6: Final answer
    x = 167,713.23

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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.