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Finding the Fourth Proportional to 300,897.48, 415,223.10 and 173,565.48

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Solution

The fourth proportional to 300,897.48, 415,223.10 and 173,565.48 is: 239,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,897.48 : 415,223.10 = 173,565.48 : x
  2. Step 2: Convert to fraction form
    300,897.48/415,223.10 = 173,565.48/x
  3. Step 3: Cross multiply
    300,897.48x = 415,223.10 × 173,565.48
  4. Step 4: Simplify right side
    300,897.48x = 72,068,396,658.59
  5. Step 5: Solve for x
    x = 72,068,396,658.59/300,897.48
  6. Step 6: Final answer
    x = 239,511.47

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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.