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Finding the Fourth Proportional to 488,143.80, 732,871.80 and 311,434.20

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Solution

The fourth proportional to 488,143.80, 732,871.80 and 311,434.20 is: 467,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,143.80 : 732,871.80 = 311,434.20 : x
  2. Step 2: Convert to fraction form
    488,143.80/732,871.80 = 311,434.20/x
  3. Step 3: Cross multiply
    488,143.80x = 732,871.80 × 311,434.20
  4. Step 4: Simplify right side
    488,143.80x = 228,241,342,735.56
  5. Step 5: Solve for x
    x = 228,241,342,735.56/488,143.80
  6. Step 6: Final answer
    x = 467,569.89

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1.5x scale

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.