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Finding the Fourth Proportional to 537,685.96, 806,030.46 and 238,006.84

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Solution

The fourth proportional to 537,685.96, 806,030.46 and 238,006.84 is: 356,789.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,685.96 : 806,030.46 = 238,006.84 : x
  2. Step 2: Convert to fraction form
    537,685.96/806,030.46 = 238,006.84/x
  3. Step 3: Cross multiply
    537,685.96x = 806,030.46 × 238,006.84
  4. Step 4: Simplify right side
    537,685.96x = 191,840,762,728.35
  5. Step 5: Solve for x
    x = 191,840,762,728.35/537,685.96
  6. Step 6: Final answer
    x = 356,789.61

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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.