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Finding the Fourth Proportional to 478,469.60, 717,704.40 and 212,749.10

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Solution

The fourth proportional to 478,469.60, 717,704.40 and 212,749.10 is: 319,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,469.60 : 717,704.40 = 212,749.10 : x
  2. Step 2: Convert to fraction form
    478,469.60/717,704.40 = 212,749.10/x
  3. Step 3: Cross multiply
    478,469.60x = 717,704.40 × 212,749.10
  4. Step 4: Simplify right side
    478,469.60x = 152,690,965,166.04
  5. Step 5: Solve for x
    x = 152,690,965,166.04/478,469.60
  6. Step 6: Final answer
    x = 319,123.65

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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.