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Finding the Fourth Proportional to 478,184.97, 717,443.53 and 212,132.32

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Solution

The fourth proportional to 478,184.97, 717,443.53 and 212,132.32 is: 318,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,184.97 : 717,443.53 = 212,132.32 : x
  2. Step 2: Convert to fraction form
    478,184.97/717,443.53 = 212,132.32/x
  3. Step 3: Cross multiply
    478,184.97x = 717,443.53 × 212,132.32
  4. Step 4: Simplify right side
    478,184.97x = 152,192,958,163.95
  5. Step 5: Solve for x
    x = 152,192,958,163.95/478,184.97
  6. Step 6: Final answer
    x = 318,272.15

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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.