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Finding the Fourth Proportional to 489,167.64, 733,119.66 and 219,098.34

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Solution

The fourth proportional to 489,167.64, 733,119.66 and 219,098.34 is: 328,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,167.64 : 733,119.66 = 219,098.34 : x
  2. Step 2: Convert to fraction form
    489,167.64/733,119.66 = 219,098.34/x
  3. Step 3: Cross multiply
    489,167.64x = 733,119.66 × 219,098.34
  4. Step 4: Simplify right side
    489,167.64x = 160,625,300,527.36
  5. Step 5: Solve for x
    x = 160,625,300,527.36/489,167.64
  6. Step 6: Final answer
    x = 328,364.53

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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.