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Finding the Fourth Proportional to 648,023.20, 971,905.20 and 311,063.20

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Solution

The fourth proportional to 648,023.20, 971,905.20 and 311,063.20 is: 466,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,023.20 : 971,905.20 = 311,063.20 : x
  2. Step 2: Convert to fraction form
    648,023.20/971,905.20 = 311,063.20/x
  3. Step 3: Cross multiply
    648,023.20x = 971,905.20 × 311,063.20
  4. Step 4: Simplify right side
    648,023.20x = 302,323,941,608.64
  5. Step 5: Solve for x
    x = 302,323,941,608.64/648,023.20
  6. Step 6: Final answer
    x = 466,532.59

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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.