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Finding the Fourth Proportional to 469,039.40, 703,551.60 and 149,186.64

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Solution

The fourth proportional to 469,039.40, 703,551.60 and 149,186.64 is: 223,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,039.40 : 703,551.60 = 149,186.64 : x
  2. Step 2: Convert to fraction form
    469,039.40/703,551.60 = 149,186.64/x
  3. Step 3: Cross multiply
    469,039.40x = 703,551.60 × 149,186.64
  4. Step 4: Simplify right side
    469,039.40x = 104,960,499,270.62
  5. Step 5: Solve for x
    x = 104,960,499,270.62/469,039.40
  6. Step 6: Final answer
    x = 223,777.57

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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.