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Finding the Fourth Proportional to 312,437.22, 431,162.50 and 169,197.22

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Solution

The fourth proportional to 312,437.22, 431,162.50 and 169,197.22 is: 233,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,437.22 : 431,162.50 = 169,197.22 : x
  2. Step 2: Convert to fraction form
    312,437.22/431,162.50 = 169,197.22/x
  3. Step 3: Cross multiply
    312,437.22x = 431,162.50 × 169,197.22
  4. Step 4: Simplify right side
    312,437.22x = 72,951,496,368.25
  5. Step 5: Solve for x
    x = 72,951,496,368.25/312,437.22
  6. Step 6: Final answer
    x = 233,491.70

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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.