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Finding the Fourth Proportional to 414,417.56, 621,864.63 and 174,512.52

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Solution

The fourth proportional to 414,417.56, 621,864.63 and 174,512.52 is: 261,869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,417.56 : 621,864.63 = 174,512.52 : x
  2. Step 2: Convert to fraction form
    414,417.56/621,864.63 = 174,512.52/x
  3. Step 3: Cross multiply
    414,417.56x = 621,864.63 × 174,512.52
  4. Step 4: Simplify right side
    414,417.56x = 108,523,163,680.17
  5. Step 5: Solve for x
    x = 108,523,163,680.17/414,417.56
  6. Step 6: Final answer
    x = 261,869.13

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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.