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Finding the Fourth Proportional to 370,638.88, 511,482.54 and 200,872.96

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Solution

The fourth proportional to 370,638.88, 511,482.54 and 200,872.96 is: 277,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,638.88 : 511,482.54 = 200,872.96 : x
  2. Step 2: Convert to fraction form
    370,638.88/511,482.54 = 200,872.96/x
  3. Step 3: Cross multiply
    370,638.88x = 511,482.54 × 200,872.96
  4. Step 4: Simplify right side
    370,638.88x = 102,743,011,798.12
  5. Step 5: Solve for x
    x = 102,743,011,798.12/370,638.88
  6. Step 6: Final answer
    x = 277,205.16

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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.