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Finding the Fourth Proportional to 312,493.32, 431,240.60 and 169,253.32

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Solution

The fourth proportional to 312,493.32, 431,240.60 and 169,253.32 is: 233,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,493.32 : 431,240.60 = 169,253.32 : x
  2. Step 2: Convert to fraction form
    312,493.32/431,240.60 = 169,253.32/x
  3. Step 3: Cross multiply
    312,493.32x = 431,240.60 × 169,253.32
  4. Step 4: Simplify right side
    312,493.32x = 72,988,903,268.79
  5. Step 5: Solve for x
    x = 72,988,903,268.79/312,493.32
  6. Step 6: Final answer
    x = 233,569.48

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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.