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Finding the Fourth Proportional to 465,493.20, 698,239.80 and 288,346.20

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Solution

The fourth proportional to 465,493.20, 698,239.80 and 288,346.20 is: 432,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,493.20 : 698,239.80 = 288,346.20 : x
  2. Step 2: Convert to fraction form
    465,493.20/698,239.80 = 288,346.20/x
  3. Step 3: Cross multiply
    465,493.20x = 698,239.80 × 288,346.20
  4. Step 4: Simplify right side
    465,493.20x = 201,334,793,018.76
  5. Step 5: Solve for x
    x = 201,334,793,018.76/465,493.20
  6. Step 6: Final answer
    x = 432,519.30

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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.