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Finding the Fourth Proportional to 372,967.68, 559,452 and 284,722.16

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Solution

The fourth proportional to 372,967.68, 559,452 and 284,722.16 is: 427,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,967.68 : 559,452 = 284,722.16 : x
  2. Step 2: Convert to fraction form
    372,967.68/559,452 = 284,722.16/x
  3. Step 3: Cross multiply
    372,967.68x = 559,452 × 284,722.16
  4. Step 4: Simplify right side
    372,967.68x = 159,288,381,856.32
  5. Step 5: Solve for x
    x = 159,288,381,856.32/372,967.68
  6. Step 6: Final answer
    x = 427,083.61

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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.