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Finding the Fourth Proportional to 312,162.32, 430,803.50 and 176,219.28

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Solution

The fourth proportional to 312,162.32, 430,803.50 and 176,219.28 is: 243,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,162.32 : 430,803.50 = 176,219.28 : x
  2. Step 2: Convert to fraction form
    312,162.32/430,803.50 = 176,219.28/x
  3. Step 3: Cross multiply
    312,162.32x = 430,803.50 × 176,219.28
  4. Step 4: Simplify right side
    312,162.32x = 75,915,881,710.38
  5. Step 5: Solve for x
    x = 75,915,881,710.38/312,162.32
  6. Step 6: Final answer
    x = 243,193.61

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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.