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Finding the Fourth Proportional to 306,843.12, 459,867.24 and 247,702.32

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Solution

The fourth proportional to 306,843.12, 459,867.24 and 247,702.32 is: 371,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,843.12 : 459,867.24 = 247,702.32 : x
  2. Step 2: Convert to fraction form
    306,843.12/459,867.24 = 247,702.32/x
  3. Step 3: Cross multiply
    306,843.12x = 459,867.24 × 247,702.32
  4. Step 4: Simplify right side
    306,843.12x = 113,910,182,240.00
  5. Step 5: Solve for x
    x = 113,910,182,240.00/306,843.12
  6. Step 6: Final answer
    x = 371,232.64

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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.