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Finding the Fourth Proportional to 370,848.49, 511,780.98 and 209,727.64

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Solution

The fourth proportional to 370,848.49, 511,780.98 and 209,727.64 is: 289,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,848.49 : 511,780.98 = 209,727.64 : x
  2. Step 2: Convert to fraction form
    370,848.49/511,780.98 = 209,727.64/x
  3. Step 3: Cross multiply
    370,848.49x = 511,780.98 × 209,727.64
  4. Step 4: Simplify right side
    370,848.49x = 107,334,614,573.38
  5. Step 5: Solve for x
    x = 107,334,614,573.38/370,848.49
  6. Step 6: Final answer
    x = 289,429.83

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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.