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Finding the Fourth Proportional to 256,589.00, 384,899.32 and 98,817.60

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Solution

The fourth proportional to 256,589.00, 384,899.32 and 98,817.60 is: 148,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,589.00 : 384,899.32 = 98,817.60 : x
  2. Step 2: Convert to fraction form
    256,589.00/384,899.32 = 98,817.60/x
  3. Step 3: Cross multiply
    256,589.00x = 384,899.32 × 98,817.60
  4. Step 4: Simplify right side
    256,589.00x = 38,034,827,044.03
  5. Step 5: Solve for x
    x = 38,034,827,044.03/256,589.00
  6. Step 6: Final answer
    x = 148,232.50

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1.5x scale

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.