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Finding the Fourth Proportional to 312,334.10, 431,015.90 and 169,092.98

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Solution

The fourth proportional to 312,334.10, 431,015.90 and 169,092.98 is: 233,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,334.10 : 431,015.90 = 169,092.98 : x
  2. Step 2: Convert to fraction form
    312,334.10/431,015.90 = 169,092.98/x
  3. Step 3: Cross multiply
    312,334.10x = 431,015.90 × 169,092.98
  4. Step 4: Simplify right side
    312,334.10x = 72,881,762,958.38
  5. Step 5: Solve for x
    x = 72,881,762,958.38/312,334.10
  6. Step 6: Final answer
    x = 233,345.52

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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.