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Finding the Fourth Proportional to 312,282.64, 430,950.30 and 169,042.24

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Solution

The fourth proportional to 312,282.64, 430,950.30 and 169,042.24 is: 233,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,282.64 : 430,950.30 = 169,042.24 : x
  2. Step 2: Convert to fraction form
    312,282.64/430,950.30 = 169,042.24/x
  3. Step 3: Cross multiply
    312,282.64x = 430,950.30 × 169,042.24
  4. Step 4: Simplify right side
    312,282.64x = 72,848,804,040.67
  5. Step 5: Solve for x
    x = 72,848,804,040.67/312,282.64
  6. Step 6: Final answer
    x = 233,278.43

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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.