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Finding the Fourth Proportional to 312,253.92, 468,382.10 and 75,596.24

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Solution

The fourth proportional to 312,253.92, 468,382.10 and 75,596.24 is: 113,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,253.92 : 468,382.10 = 75,596.24 : x
  2. Step 2: Convert to fraction form
    312,253.92/468,382.10 = 75,596.24/x
  3. Step 3: Cross multiply
    312,253.92x = 468,382.10 × 75,596.24
  4. Step 4: Simplify right side
    312,253.92x = 35,407,925,643.30
  5. Step 5: Solve for x
    x = 35,407,925,643.30/312,253.92
  6. Step 6: Final answer
    x = 113,394.66

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1.5x scale

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.