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Finding the Fourth Proportional to 825,709, 1,238,771.66 and 234,733

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Solution

The fourth proportional to 825,709, 1,238,771.66 and 234,733 is: 352,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,709 : 1,238,771.66 = 234,733 : x
  2. Step 2: Convert to fraction form
    825,709/1,238,771.66 = 234,733/x
  3. Step 3: Cross multiply
    825,709x = 1,238,771.66 × 234,733
  4. Step 4: Simplify right side
    825,709x = 290,780,588,066.78
  5. Step 5: Solve for x
    x = 290,780,588,066.78/825,709
  6. Step 6: Final answer
    x = 352,158.68

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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.