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Finding the Fourth Proportional to 478,450.10, 717,675.15 and 212,729.60

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Solution

The fourth proportional to 478,450.10, 717,675.15 and 212,729.60 is: 319,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,450.10 : 717,675.15 = 212,729.60 : x
  2. Step 2: Convert to fraction form
    478,450.10/717,675.15 = 212,729.60/x
  3. Step 3: Cross multiply
    478,450.10x = 717,675.15 × 212,729.60
  4. Step 4: Simplify right side
    478,450.10x = 152,670,747,589.44
  5. Step 5: Solve for x
    x = 152,670,747,589.44/478,450.10
  6. Step 6: Final answer
    x = 319,094.40

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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.