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Finding the Fourth Proportional to 312,423.06, 468,537.66 and 112,717.48

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Solution

The fourth proportional to 312,423.06, 468,537.66 and 112,717.48 is: 169,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,423.06 : 468,537.66 = 112,717.48 : x
  2. Step 2: Convert to fraction form
    312,423.06/468,537.66 = 112,717.48/x
  3. Step 3: Cross multiply
    312,423.06x = 468,537.66 × 112,717.48
  4. Step 4: Simplify right side
    312,423.06x = 52,812,384,320.30
  5. Step 5: Solve for x
    x = 52,812,384,320.30/312,423.06
  6. Step 6: Final answer
    x = 169,041.25

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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.