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Finding the Fourth Proportional to 312,149.60, 430,767.92 and 176,189.28

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Solution

The fourth proportional to 312,149.60, 430,767.92 and 176,189.28 is: 243,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,149.60 : 430,767.92 = 176,189.28 : x
  2. Step 2: Convert to fraction form
    312,149.60/430,767.92 = 176,189.28/x
  3. Step 3: Cross multiply
    312,149.60x = 430,767.92 × 176,189.28
  4. Step 4: Simplify right side
    312,149.60x = 75,896,688,496.99
  5. Step 5: Solve for x
    x = 75,896,688,496.99/312,149.60
  6. Step 6: Final answer
    x = 243,142.03

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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.