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Finding the Fourth Proportional to 312,194.97, 430,841.40 and 176,233.77

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Solution

The fourth proportional to 312,194.97, 430,841.40 and 176,233.77 is: 243,209.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,194.97 : 430,841.40 = 176,233.77 : x
  2. Step 2: Convert to fraction form
    312,194.97/430,841.40 = 176,233.77/x
  3. Step 3: Cross multiply
    312,194.97x = 430,841.40 × 176,233.77
  4. Step 4: Simplify right side
    312,194.97x = 75,928,804,194.08
  5. Step 5: Solve for x
    x = 75,928,804,194.08/312,194.97
  6. Step 6: Final answer
    x = 243,209.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.