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Finding the Fourth Proportional to 312,815.19, 469,340.24 and 144,416.19

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Solution

The fourth proportional to 312,815.19, 469,340.24 and 144,416.19 is: 216,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,815.19 : 469,340.24 = 144,416.19 : x
  2. Step 2: Convert to fraction form
    312,815.19/469,340.24 = 144,416.19/x
  3. Step 3: Cross multiply
    312,815.19x = 469,340.24 × 144,416.19
  4. Step 4: Simplify right side
    312,815.19x = 67,780,328,552.40
  5. Step 5: Solve for x
    x = 67,780,328,552.40/312,815.19
  6. Step 6: Final answer
    x = 216,678.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.