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Finding the Fourth Proportional to 468,233.52, 702,462.20 and 152,690.80

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Solution

The fourth proportional to 468,233.52, 702,462.20 and 152,690.80 is: 229,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,233.52 : 702,462.20 = 152,690.80 : x
  2. Step 2: Convert to fraction form
    468,233.52/702,462.20 = 152,690.80/x
  3. Step 3: Cross multiply
    468,233.52x = 702,462.20 × 152,690.80
  4. Step 4: Simplify right side
    468,233.52x = 107,259,515,287.76
  5. Step 5: Solve for x
    x = 107,259,515,287.76/468,233.52
  6. Step 6: Final answer
    x = 229,072.70

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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.