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Finding the Fourth Proportional to 714,771.16, 986,473.05 and 408,805.10

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Solution

The fourth proportional to 714,771.16, 986,473.05 and 408,805.10 is: 564,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,771.16 : 986,473.05 = 408,805.10 : x
  2. Step 2: Convert to fraction form
    714,771.16/986,473.05 = 408,805.10/x
  3. Step 3: Cross multiply
    714,771.16x = 986,473.05 × 408,805.10
  4. Step 4: Simplify right side
    714,771.16x = 403,275,211,086.45
  5. Step 5: Solve for x
    x = 403,275,211,086.45/714,771.16
  6. Step 6: Final answer
    x = 564,201.85

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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.