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Finding the Fourth Proportional to 370,990.38, 511,966.74 and 209,841.96

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Solution

The fourth proportional to 370,990.38, 511,966.74 and 209,841.96 is: 289,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,990.38 : 511,966.74 = 209,841.96 : x
  2. Step 2: Convert to fraction form
    370,990.38/511,966.74 = 209,841.96/x
  3. Step 3: Cross multiply
    370,990.38x = 511,966.74 × 209,841.96
  4. Step 4: Simplify right side
    370,990.38x = 107,432,104,176.41
  5. Step 5: Solve for x
    x = 107,432,104,176.41/370,990.38
  6. Step 6: Final answer
    x = 289,581.91

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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.