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Finding the Fourth Proportional to 409,427.46, 614,141.19 and 159,934.50

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Solution

The fourth proportional to 409,427.46, 614,141.19 and 159,934.50 is: 239,901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,427.46 : 614,141.19 = 159,934.50 : x
  2. Step 2: Convert to fraction form
    409,427.46/614,141.19 = 159,934.50/x
  3. Step 3: Cross multiply
    409,427.46x = 614,141.19 × 159,934.50
  4. Step 4: Simplify right side
    409,427.46x = 98,222,364,152.06
  5. Step 5: Solve for x
    x = 98,222,364,152.06/409,427.46
  6. Step 6: Final answer
    x = 239,901.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.