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Finding the Fourth Proportional to 417,624.50, 576,322.22 and 226,637.93

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Solution

The fourth proportional to 417,624.50, 576,322.22 and 226,637.93 is: 312,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,624.50 : 576,322.22 = 226,637.93 : x
  2. Step 2: Convert to fraction form
    417,624.50/576,322.22 = 226,637.93/x
  3. Step 3: Cross multiply
    417,624.50x = 576,322.22 × 226,637.93
  4. Step 4: Simplify right side
    417,624.50x = 130,616,473,820.62
  5. Step 5: Solve for x
    x = 130,616,473,820.62/417,624.50
  6. Step 6: Final answer
    x = 312,760.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.