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Finding the Fourth Proportional to 370,512.87, 511,301.08 and 209,364.45

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Solution

The fourth proportional to 370,512.87, 511,301.08 and 209,364.45 is: 288,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,512.87 : 511,301.08 = 209,364.45 : x
  2. Step 2: Convert to fraction form
    370,512.87/511,301.08 = 209,364.45/x
  3. Step 3: Cross multiply
    370,512.87x = 511,301.08 × 209,364.45
  4. Step 4: Simplify right side
    370,512.87x = 107,048,269,398.61
  5. Step 5: Solve for x
    x = 107,048,269,398.61/370,512.87
  6. Step 6: Final answer
    x = 288,919.17

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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.