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Finding the Fourth Proportional to 874,564, 1,206,984.18 and 511,965.88

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Solution

The fourth proportional to 874,564, 1,206,984.18 and 511,965.88 is: 706,563.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,564 : 1,206,984.18 = 511,965.88 : x
  2. Step 2: Convert to fraction form
    874,564/1,206,984.18 = 511,965.88/x
  3. Step 3: Cross multiply
    874,564x = 1,206,984.18 × 511,965.88
  4. Step 4: Simplify right side
    874,564x = 617,934,717,859.78
  5. Step 5: Solve for x
    x = 617,934,717,859.78/874,564
  6. Step 6: Final answer
    x = 706,563.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.