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Finding the Fourth Proportional to 706,138.40, 1,058,818.80 and 284,938.40

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Solution

The fourth proportional to 706,138.40, 1,058,818.80 and 284,938.40 is: 427,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,138.40 : 1,058,818.80 = 284,938.40 : x
  2. Step 2: Convert to fraction form
    706,138.40/1,058,818.80 = 284,938.40/x
  3. Step 3: Cross multiply
    706,138.40x = 1,058,818.80 × 284,938.40
  4. Step 4: Simplify right side
    706,138.40x = 301,698,134,761.92
  5. Step 5: Solve for x
    x = 301,698,134,761.92/706,138.40
  6. Step 6: Final answer
    x = 427,250.71

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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.