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Finding the Fourth Proportional to 469,331.85, 703,962.38 and 149,470.80

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Solution

The fourth proportional to 469,331.85, 703,962.38 and 149,470.80 is: 224,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,331.85 : 703,962.38 = 149,470.80 : x
  2. Step 2: Convert to fraction form
    469,331.85/703,962.38 = 149,470.80/x
  3. Step 3: Cross multiply
    469,331.85x = 703,962.38 × 149,470.80
  4. Step 4: Simplify right side
    469,331.85x = 105,221,820,108.50
  5. Step 5: Solve for x
    x = 105,221,820,108.50/469,331.85
  6. Step 6: Final answer
    x = 224,194.93

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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.