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Finding the Fourth Proportional to 467,113.20, 700,669.80 and 408,064.20

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Solution

The fourth proportional to 467,113.20, 700,669.80 and 408,064.20 is: 612,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,113.20 : 700,669.80 = 408,064.20 : x
  2. Step 2: Convert to fraction form
    467,113.20/700,669.80 = 408,064.20/x
  3. Step 3: Cross multiply
    467,113.20x = 700,669.80 × 408,064.20
  4. Step 4: Simplify right side
    467,113.20x = 285,918,261,401.16
  5. Step 5: Solve for x
    x = 285,918,261,401.16/467,113.20
  6. Step 6: Final answer
    x = 612,096.30

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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.