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Finding the Fourth Proportional to 315,422.70, 471,982.05 and 232,478.70

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Solution

The fourth proportional to 315,422.70, 471,982.05 and 232,478.70 is: 347,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,422.70 : 471,982.05 = 232,478.70 : x
  2. Step 2: Convert to fraction form
    315,422.70/471,982.05 = 232,478.70/x
  3. Step 3: Cross multiply
    315,422.70x = 471,982.05 × 232,478.70
  4. Step 4: Simplify right side
    315,422.70x = 109,725,773,407.34
  5. Step 5: Solve for x
    x = 109,725,773,407.34/315,422.70
  6. Step 6: Final answer
    x = 347,868.98

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