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Finding the Fourth Proportional to 312,850.92, 469,315.68 and 152,932.02

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Solution

The fourth proportional to 312,850.92, 469,315.68 and 152,932.02 is: 229,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,850.92 : 469,315.68 = 152,932.02 : x
  2. Step 2: Convert to fraction form
    312,850.92/469,315.68 = 152,932.02/x
  3. Step 3: Cross multiply
    312,850.92x = 469,315.68 × 152,932.02
  4. Step 4: Simplify right side
    312,850.92x = 71,773,394,960.07
  5. Step 5: Solve for x
    x = 71,773,394,960.07/312,850.92
  6. Step 6: Final answer
    x = 229,417.24

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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.