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Finding the Fourth Proportional to 488,141.30, 732,868.05 and 311,431.70

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Solution

The fourth proportional to 488,141.30, 732,868.05 and 311,431.70 is: 467,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,141.30 : 732,868.05 = 311,431.70 : x
  2. Step 2: Convert to fraction form
    488,141.30/732,868.05 = 311,431.70/x
  3. Step 3: Cross multiply
    488,141.30x = 732,868.05 × 311,431.70
  4. Step 4: Simplify right side
    488,141.30x = 228,238,342,687.19
  5. Step 5: Solve for x
    x = 228,238,342,687.19/488,141.30
  6. Step 6: Final answer
    x = 467,566.14

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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.