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Finding the Fourth Proportional to 306,016.20, 459,024.30 and 257,027.40

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Solution

The fourth proportional to 306,016.20, 459,024.30 and 257,027.40 is: 385,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,016.20 : 459,024.30 = 257,027.40 : x
  2. Step 2: Convert to fraction form
    306,016.20/459,024.30 = 257,027.40/x
  3. Step 3: Cross multiply
    306,016.20x = 459,024.30 × 257,027.40
  4. Step 4: Simplify right side
    306,016.20x = 117,981,822,365.82
  5. Step 5: Solve for x
    x = 117,981,822,365.82/306,016.20
  6. Step 6: Final answer
    x = 385,541.10

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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.