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Finding the Fourth Proportional to 312,677.80, 431,497.43 and 169,439.02

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Solution

The fourth proportional to 312,677.80, 431,497.43 and 169,439.02 is: 233,826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,677.80 : 431,497.43 = 169,439.02 : x
  2. Step 2: Convert to fraction form
    312,677.80/431,497.43 = 169,439.02/x
  3. Step 3: Cross multiply
    312,677.80x = 431,497.43 × 169,439.02
  4. Step 4: Simplify right side
    312,677.80x = 73,112,501,671.72
  5. Step 5: Solve for x
    x = 73,112,501,671.72/312,677.80
  6. Step 6: Final answer
    x = 233,826.97

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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.