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Finding the Fourth Proportional to 467,853.80, 702,023.70 and 218,535.80

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Solution

The fourth proportional to 467,853.80, 702,023.70 and 218,535.80 is: 327,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,853.80 : 702,023.70 = 218,535.80 : x
  2. Step 2: Convert to fraction form
    467,853.80/702,023.70 = 218,535.80/x
  3. Step 3: Cross multiply
    467,853.80x = 702,023.70 × 218,535.80
  4. Step 4: Simplify right side
    467,853.80x = 153,417,310,898.46
  5. Step 5: Solve for x
    x = 153,417,310,898.46/467,853.80
  6. Step 6: Final answer
    x = 327,917.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.