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Finding the Fourth Proportional to 312,464.16, 431,200.80 and 169,224.48

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Solution

The fourth proportional to 312,464.16, 431,200.80 and 169,224.48 is: 233,529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,464.16 : 431,200.80 = 169,224.48 : x
  2. Step 2: Convert to fraction form
    312,464.16/431,200.80 = 169,224.48/x
  3. Step 3: Cross multiply
    312,464.16x = 431,200.80 × 169,224.48
  4. Step 4: Simplify right side
    312,464.16x = 72,969,731,155.58
  5. Step 5: Solve for x
    x = 72,969,731,155.58/312,464.16
  6. Step 6: Final answer
    x = 233,529.92

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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.