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Finding the Fourth Proportional to 307,574.90, 461,491.95 and 167,434.10

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Solution

The fourth proportional to 307,574.90, 461,491.95 and 167,434.10 is: 251,221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,574.90 : 461,491.95 = 167,434.10 : x
  2. Step 2: Convert to fraction form
    307,574.90/461,491.95 = 167,434.10/x
  3. Step 3: Cross multiply
    307,574.90x = 461,491.95 × 167,434.10
  4. Step 4: Simplify right side
    307,574.90x = 77,269,489,305.50
  5. Step 5: Solve for x
    x = 77,269,489,305.50/307,574.90
  6. Step 6: Final answer
    x = 251,221.70

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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.