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Finding the Fourth Proportional to 315,020.40, 472,534.20 and 78,363.60

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Solution

The fourth proportional to 315,020.40, 472,534.20 and 78,363.60 is: 117,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,020.40 : 472,534.20 = 78,363.60 : x
  2. Step 2: Convert to fraction form
    315,020.40/472,534.20 = 78,363.60/x
  3. Step 3: Cross multiply
    315,020.40x = 472,534.20 × 78,363.60
  4. Step 4: Simplify right side
    315,020.40x = 37,029,481,035.12
  5. Step 5: Solve for x
    x = 37,029,481,035.12/315,020.40
  6. Step 6: Final answer
    x = 117,546.30

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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.