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Finding the Fourth Proportional to 392,347.21, 588,526.28 and 111,864.46

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Solution

The fourth proportional to 392,347.21, 588,526.28 and 111,864.46 is: 167,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,347.21 : 588,526.28 = 111,864.46 : x
  2. Step 2: Convert to fraction form
    392,347.21/588,526.28 = 111,864.46/x
  3. Step 3: Cross multiply
    392,347.21x = 588,526.28 × 111,864.46
  4. Step 4: Simplify right side
    392,347.21x = 65,835,174,508.01
  5. Step 5: Solve for x
    x = 65,835,174,508.01/392,347.21
  6. Step 6: Final answer
    x = 167,798.25

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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.