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Finding the Fourth Proportional to 370,610.77, 511,443.30 and 200,844.90

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Solution

The fourth proportional to 370,610.77, 511,443.30 and 200,844.90 is: 277,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,610.77 : 511,443.30 = 200,844.90 : x
  2. Step 2: Convert to fraction form
    370,610.77/511,443.30 = 200,844.90/x
  3. Step 3: Cross multiply
    370,610.77x = 511,443.30 × 200,844.90
  4. Step 4: Simplify right side
    370,610.77x = 102,720,778,444.17
  5. Step 5: Solve for x
    x = 102,720,778,444.17/370,610.77
  6. Step 6: Final answer
    x = 277,166.20

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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.