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Finding the Fourth Proportional to 1,786,109.32, 2,464,821.06 and 970,306.60

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Solution

The fourth proportional to 1,786,109.32, 2,464,821.06 and 970,306.60 is: 1,339,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786,109.32 : 2,464,821.06 = 970,306.60 : x
  2. Step 2: Convert to fraction form
    1,786,109.32/2,464,821.06 = 970,306.60/x
  3. Step 3: Cross multiply
    1,786,109.32x = 2,464,821.06 × 970,306.60
  4. Step 4: Simplify right side
    1,786,109.32x = 2,391,632,142,337.00
  5. Step 5: Solve for x
    x = 2,391,632,142,337.00/1,786,109.32
  6. Step 6: Final answer
    x = 1,339,017.78

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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.