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Finding the Fourth Proportional to 410,160.78, 614,049.69 and 238,860.21

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Solution

The fourth proportional to 410,160.78, 614,049.69 and 238,860.21 is: 357,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,160.78 : 614,049.69 = 238,860.21 : x
  2. Step 2: Convert to fraction form
    410,160.78/614,049.69 = 238,860.21/x
  3. Step 3: Cross multiply
    410,160.78x = 614,049.69 × 238,860.21
  4. Step 4: Simplify right side
    410,160.78x = 146,672,037,903.84
  5. Step 5: Solve for x
    x = 146,672,037,903.84/410,160.78
  6. Step 6: Final answer
    x = 357,596.45

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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.