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Finding the Fourth Proportional to 413,624.12, 570,712.74 and 241,463.96

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Solution

The fourth proportional to 413,624.12, 570,712.74 and 241,463.96 is: 333,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,624.12 : 570,712.74 = 241,463.96 : x
  2. Step 2: Convert to fraction form
    413,624.12/570,712.74 = 241,463.96/x
  3. Step 3: Cross multiply
    413,624.12x = 570,712.74 × 241,463.96
  4. Step 4: Simplify right side
    413,624.12x = 137,806,555,369.29
  5. Step 5: Solve for x
    x = 137,806,555,369.29/413,624.12
  6. Step 6: Final answer
    x = 333,168.57

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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.