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Finding the Fourth Proportional to 349,053.60, 523,308.24 and 162,040.80

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Solution

The fourth proportional to 349,053.60, 523,308.24 and 162,040.80 is: 242,934.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,053.60 : 523,308.24 = 162,040.80 : x
  2. Step 2: Convert to fraction form
    349,053.60/523,308.24 = 162,040.80/x
  3. Step 3: Cross multiply
    349,053.60x = 523,308.24 × 162,040.80
  4. Step 4: Simplify right side
    349,053.60x = 84,797,285,856.19
  5. Step 5: Solve for x
    x = 84,797,285,856.19/349,053.60
  6. Step 6: Final answer
    x = 242,934.86

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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.