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Finding the Fourth Proportional to 325,702.28, 488,784.27 and 148,232.09

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Solution

The fourth proportional to 325,702.28, 488,784.27 and 148,232.09 is: 222,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,702.28 : 488,784.27 = 148,232.09 : x
  2. Step 2: Convert to fraction form
    325,702.28/488,784.27 = 148,232.09/x
  3. Step 3: Cross multiply
    325,702.28x = 488,784.27 × 148,232.09
  4. Step 4: Simplify right side
    325,702.28x = 72,453,513,901.22
  5. Step 5: Solve for x
    x = 72,453,513,901.22/325,702.28
  6. Step 6: Final answer
    x = 222,453.20

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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.