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Finding the Fourth Proportional to 393,564.70, 590,347.05 and 156,943.90

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Solution

The fourth proportional to 393,564.70, 590,347.05 and 156,943.90 is: 235,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,564.70 : 590,347.05 = 156,943.90 : x
  2. Step 2: Convert to fraction form
    393,564.70/590,347.05 = 156,943.90/x
  3. Step 3: Cross multiply
    393,564.70x = 590,347.05 × 156,943.90
  4. Step 4: Simplify right side
    393,564.70x = 92,651,368,380.50
  5. Step 5: Solve for x
    x = 92,651,368,380.50/393,564.70
  6. Step 6: Final answer
    x = 235,415.85

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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.