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Finding the Fourth Proportional to 312,868.32, 469,442 and 144,298

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Solution

The fourth proportional to 312,868.32, 469,442 and 144,298 is: 216,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,868.32 : 469,442 = 144,298 : x
  2. Step 2: Convert to fraction form
    312,868.32/469,442 = 144,298/x
  3. Step 3: Cross multiply
    312,868.32x = 469,442 × 144,298
  4. Step 4: Simplify right side
    312,868.32x = 67,739,541,716
  5. Step 5: Solve for x
    x = 67,739,541,716/312,868.32
  6. Step 6: Final answer
    x = 216,511.35

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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.