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Finding the Fourth Proportional to 702,191.19, 969,023.34 and 396,331.95

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Solution

The fourth proportional to 702,191.19, 969,023.34 and 396,331.95 is: 546,937.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,191.19 : 969,023.34 = 396,331.95 : x
  2. Step 2: Convert to fraction form
    702,191.19/969,023.34 = 396,331.95/x
  3. Step 3: Cross multiply
    702,191.19x = 969,023.34 × 396,331.95
  4. Step 4: Simplify right side
    702,191.19x = 384,054,909,937.71
  5. Step 5: Solve for x
    x = 384,054,909,937.71/702,191.19
  6. Step 6: Final answer
    x = 546,937.81

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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.