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Finding the Fourth Proportional to 414,332.85, 621,530.60 and 114,809.97

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Solution

The fourth proportional to 414,332.85, 621,530.60 and 114,809.97 is: 172,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,332.85 : 621,530.60 = 114,809.97 : x
  2. Step 2: Convert to fraction form
    414,332.85/621,530.60 = 114,809.97/x
  3. Step 3: Cross multiply
    414,332.85x = 621,530.60 × 114,809.97
  4. Step 4: Simplify right side
    414,332.85x = 71,357,908,966.03
  5. Step 5: Solve for x
    x = 71,357,908,966.03/414,332.85
  6. Step 6: Final answer
    x = 172,223.63

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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.