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Finding the Fourth Proportional to 370,527.66, 511,328.51 and 200,761.78

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Solution

The fourth proportional to 370,527.66, 511,328.51 and 200,761.78 is: 277,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,527.66 : 511,328.51 = 200,761.78 : x
  2. Step 2: Convert to fraction form
    370,527.66/511,328.51 = 200,761.78/x
  3. Step 3: Cross multiply
    370,527.66x = 511,328.51 × 200,761.78
  4. Step 4: Simplify right side
    370,527.66x = 102,655,221,832.35
  5. Step 5: Solve for x
    x = 102,655,221,832.35/370,527.66
  6. Step 6: Final answer
    x = 277,051.44

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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.