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Finding the Fourth Proportional to 459,010.20, 687,203.10 and 281,863.20

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Solution

The fourth proportional to 459,010.20, 687,203.10 and 281,863.20 is: 421,989.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,010.20 : 687,203.10 = 281,863.20 : x
  2. Step 2: Convert to fraction form
    459,010.20/687,203.10 = 281,863.20/x
  3. Step 3: Cross multiply
    459,010.20x = 687,203.10 × 281,863.20
  4. Step 4: Simplify right side
    459,010.20x = 193,697,264,815.92
  5. Step 5: Solve for x
    x = 193,697,264,815.92/459,010.20
  6. Step 6: Final answer
    x = 421,989.02

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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.