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Finding the Fourth Proportional to 312,164.76, 430,786.86 and 176,227.32

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Solution

The fourth proportional to 312,164.76, 430,786.86 and 176,227.32 is: 243,193.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,164.76 : 430,786.86 = 176,227.32 : x
  2. Step 2: Convert to fraction form
    312,164.76/430,786.86 = 176,227.32/x
  3. Step 3: Cross multiply
    312,164.76x = 430,786.86 × 176,227.32
  4. Step 4: Simplify right side
    312,164.76x = 75,916,413,829.02
  5. Step 5: Solve for x
    x = 75,916,413,829.02/312,164.76
  6. Step 6: Final answer
    x = 243,193.41

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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.