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Finding the Fourth Proportional to 414,560.66, 621,326.97 and 294,426.05

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Solution

The fourth proportional to 414,560.66, 621,326.97 and 294,426.05 is: 441,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,560.66 : 621,326.97 = 294,426.05 : x
  2. Step 2: Convert to fraction form
    414,560.66/621,326.97 = 294,426.05/x
  3. Step 3: Cross multiply
    414,560.66x = 621,326.97 × 294,426.05
  4. Step 4: Simplify right side
    414,560.66x = 182,934,842,428.93
  5. Step 5: Solve for x
    x = 182,934,842,428.93/414,560.66
  6. Step 6: Final answer
    x = 441,274.01

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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.