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Finding the Fourth Proportional to 474,823.80, 712,235.70 and 159,204.60

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Solution

The fourth proportional to 474,823.80, 712,235.70 and 159,204.60 is: 238,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,823.80 : 712,235.70 = 159,204.60 : x
  2. Step 2: Convert to fraction form
    474,823.80/712,235.70 = 159,204.60/x
  3. Step 3: Cross multiply
    474,823.80x = 712,235.70 × 159,204.60
  4. Step 4: Simplify right side
    474,823.80x = 113,391,199,724.22
  5. Step 5: Solve for x
    x = 113,391,199,724.22/474,823.80
  6. Step 6: Final answer
    x = 238,806.90

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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.