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Finding the Fourth Proportional to 332,204.80, 498,307.20 and 319,082.80

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Solution

The fourth proportional to 332,204.80, 498,307.20 and 319,082.80 is: 478,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,204.80 : 498,307.20 = 319,082.80 : x
  2. Step 2: Convert to fraction form
    332,204.80/498,307.20 = 319,082.80/x
  3. Step 3: Cross multiply
    332,204.80x = 498,307.20 × 319,082.80
  4. Step 4: Simplify right side
    332,204.80x = 159,001,256,636.16
  5. Step 5: Solve for x
    x = 159,001,256,636.16/332,204.80
  6. Step 6: Final answer
    x = 478,624.20

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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.