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Finding the Fourth Proportional to 459,013.20, 687,207.60 and 281,866.20

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Solution

The fourth proportional to 459,013.20, 687,207.60 and 281,866.20 is: 421,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,013.20 : 687,207.60 = 281,866.20 : x
  2. Step 2: Convert to fraction form
    459,013.20/687,207.60 = 281,866.20/x
  3. Step 3: Cross multiply
    459,013.20x = 687,207.60 × 281,866.20
  4. Step 4: Simplify right side
    459,013.20x = 193,700,594,823.12
  5. Step 5: Solve for x
    x = 193,700,594,823.12/459,013.20
  6. Step 6: Final answer
    x = 421,993.52

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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.