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Finding the Fourth Proportional to 312,347.60, 468,382.89 and 143,827.10

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Solution

The fourth proportional to 312,347.60, 468,382.89 and 143,827.10 is: 215,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,347.60 : 468,382.89 = 143,827.10 : x
  2. Step 2: Convert to fraction form
    312,347.60/468,382.89 = 143,827.10/x
  3. Step 3: Cross multiply
    312,347.60x = 468,382.89 × 143,827.10
  4. Step 4: Simplify right side
    312,347.60x = 67,366,152,758.32
  5. Step 5: Solve for x
    x = 67,366,152,758.32/312,347.60
  6. Step 6: Final answer
    x = 215,676.87

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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.