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Finding the Fourth Proportional to 414,332.10, 621,529.47 and 114,809.22

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Solution

The fourth proportional to 414,332.10, 621,529.47 and 114,809.22 is: 172,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,332.10 : 621,529.47 = 114,809.22 : x
  2. Step 2: Convert to fraction form
    414,332.10/621,529.47 = 114,809.22/x
  3. Step 3: Cross multiply
    414,332.10x = 621,529.47 × 114,809.22
  4. Step 4: Simplify right side
    414,332.10x = 71,357,313,657.71
  5. Step 5: Solve for x
    x = 71,357,313,657.71/414,332.10
  6. Step 6: Final answer
    x = 172,222.51

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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.