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Finding the Fourth Proportional to 307,182.24, 423,914.40 and 173,046.24

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Solution

The fourth proportional to 307,182.24, 423,914.40 and 173,046.24 is: 238,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,182.24 : 423,914.40 = 173,046.24 : x
  2. Step 2: Convert to fraction form
    307,182.24/423,914.40 = 173,046.24/x
  3. Step 3: Cross multiply
    307,182.24x = 423,914.40 × 173,046.24
  4. Step 4: Simplify right side
    307,182.24x = 73,356,793,001.86
  5. Step 5: Solve for x
    x = 73,356,793,001.86/307,182.24
  6. Step 6: Final answer
    x = 238,805.45

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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.