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Finding the Fourth Proportional to 322,587.40, 483,881.10 and 216,833.80

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Solution

The fourth proportional to 322,587.40, 483,881.10 and 216,833.80 is: 325,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,587.40 : 483,881.10 = 216,833.80 : x
  2. Step 2: Convert to fraction form
    322,587.40/483,881.10 = 216,833.80/x
  3. Step 3: Cross multiply
    322,587.40x = 483,881.10 × 216,833.80
  4. Step 4: Simplify right side
    322,587.40x = 104,921,777,661.18
  5. Step 5: Solve for x
    x = 104,921,777,661.18/322,587.40
  6. Step 6: Final answer
    x = 325,250.70

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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.