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Finding the Fourth Proportional to 312,143.90, 430,760.10 and 176,183.60

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Solution

The fourth proportional to 312,143.90, 430,760.10 and 176,183.60 is: 243,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,143.90 : 430,760.10 = 176,183.60 : x
  2. Step 2: Convert to fraction form
    312,143.90/430,760.10 = 176,183.60/x
  3. Step 3: Cross multiply
    312,143.90x = 430,760.10 × 176,183.60
  4. Step 4: Simplify right side
    312,143.90x = 75,892,865,154.36
  5. Step 5: Solve for x
    x = 75,892,865,154.36/312,143.90
  6. Step 6: Final answer
    x = 243,134.22

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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.