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Finding the Fourth Proportional to 305,909.39, 459,144.24 and 156,254.60

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Solution

The fourth proportional to 305,909.39, 459,144.24 and 156,254.60 is: 234,525.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,909.39 : 459,144.24 = 156,254.60 : x
  2. Step 2: Convert to fraction form
    305,909.39/459,144.24 = 156,254.60/x
  3. Step 3: Cross multiply
    305,909.39x = 459,144.24 × 156,254.60
  4. Step 4: Simplify right side
    305,909.39x = 71,743,398,782.23
  5. Step 5: Solve for x
    x = 71,743,398,782.23/305,909.39
  6. Step 6: Final answer
    x = 234,525.00

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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.