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Finding the Fourth Proportional to 370,506.87, 511,292.80 and 209,358.45

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Solution

The fourth proportional to 370,506.87, 511,292.80 and 209,358.45 is: 288,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,506.87 : 511,292.80 = 209,358.45 : x
  2. Step 2: Convert to fraction form
    370,506.87/511,292.80 = 209,358.45/x
  3. Step 3: Cross multiply
    370,506.87x = 511,292.80 × 209,358.45
  4. Step 4: Simplify right side
    370,506.87x = 107,043,464,500.90
  5. Step 5: Solve for x
    x = 107,043,464,500.90/370,506.87
  6. Step 6: Final answer
    x = 288,910.88

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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.