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Finding the Fourth Proportional to 370,682.66, 511,536.50 and 209,532.02

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Solution

The fourth proportional to 370,682.66, 511,536.50 and 209,532.02 is: 289,151.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,682.66 : 511,536.50 = 209,532.02 : x
  2. Step 2: Convert to fraction form
    370,682.66/511,536.50 = 209,532.02/x
  3. Step 3: Cross multiply
    370,682.66x = 511,536.50 × 209,532.02
  4. Step 4: Simplify right side
    370,682.66x = 107,183,276,148.73
  5. Step 5: Solve for x
    x = 107,183,276,148.73/370,682.66
  6. Step 6: Final answer
    x = 289,151.04

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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.