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Finding the Fourth Proportional to 714,604.36, 986,201.84 and 472,470.60

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Solution

The fourth proportional to 714,604.36, 986,201.84 and 472,470.60 is: 652,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,604.36 : 986,201.84 = 472,470.60 : x
  2. Step 2: Convert to fraction form
    714,604.36/986,201.84 = 472,470.60/x
  3. Step 3: Cross multiply
    714,604.36x = 986,201.84 × 472,470.60
  4. Step 4: Simplify right side
    714,604.36x = 465,951,375,065.90
  5. Step 5: Solve for x
    x = 465,951,375,065.90/714,604.36
  6. Step 6: Final answer
    x = 652,041.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.