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Finding the Fourth Proportional to 312,433.18, 431,157.80 and 169,193.22

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Solution

The fourth proportional to 312,433.18, 431,157.80 and 169,193.22 is: 233,486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,433.18 : 431,157.80 = 169,193.22 : x
  2. Step 2: Convert to fraction form
    312,433.18/431,157.80 = 169,193.22/x
  3. Step 3: Cross multiply
    312,433.18x = 431,157.80 × 169,193.22
  4. Step 4: Simplify right side
    312,433.18x = 72,948,976,510.12
  5. Step 5: Solve for x
    x = 72,948,976,510.12/312,433.18
  6. Step 6: Final answer
    x = 233,486.65

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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.