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Finding the Fourth Proportional to 306,500.20, 459,750.30 and 213,188.20

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Solution

The fourth proportional to 306,500.20, 459,750.30 and 213,188.20 is: 319,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,500.20 : 459,750.30 = 213,188.20 : x
  2. Step 2: Convert to fraction form
    306,500.20/459,750.30 = 213,188.20/x
  3. Step 3: Cross multiply
    306,500.20x = 459,750.30 × 213,188.20
  4. Step 4: Simplify right side
    306,500.20x = 98,013,338,906.46
  5. Step 5: Solve for x
    x = 98,013,338,906.46/306,500.20
  6. Step 6: Final answer
    x = 319,782.30

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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.