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Finding the Fourth Proportional to 414,333.85, 621,532.10 and 114,810.97

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Solution

The fourth proportional to 414,333.85, 621,532.10 and 114,810.97 is: 172,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,333.85 : 621,532.10 = 114,810.97 : x
  2. Step 2: Convert to fraction form
    414,333.85/621,532.10 = 114,810.97/x
  3. Step 3: Cross multiply
    414,333.85x = 621,532.10 × 114,810.97
  4. Step 4: Simplify right side
    414,333.85x = 71,358,703,287.14
  5. Step 5: Solve for x
    x = 71,358,703,287.14/414,333.85
  6. Step 6: Final answer
    x = 172,225.14

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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.