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Finding the Fourth Proportional to 469,047.39, 703,564.17 and 149,218.64

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Solution

The fourth proportional to 469,047.39, 703,564.17 and 149,218.64 is: 223,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,047.39 : 703,564.17 = 149,218.64 : x
  2. Step 2: Convert to fraction form
    469,047.39/703,564.17 = 149,218.64/x
  3. Step 3: Cross multiply
    469,047.39x = 703,564.17 × 149,218.64
  4. Step 4: Simplify right side
    469,047.39x = 104,984,885,082.31
  5. Step 5: Solve for x
    x = 104,984,885,082.31/469,047.39
  6. Step 6: Final answer
    x = 223,825.75

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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.