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Finding the Fourth Proportional to 464,825.14, 697,532.66 and 198,587.66

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Solution

The fourth proportional to 464,825.14, 697,532.66 and 198,587.66 is: 298,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,825.14 : 697,532.66 = 198,587.66 : x
  2. Step 2: Convert to fraction form
    464,825.14/697,532.66 = 198,587.66/x
  3. Step 3: Cross multiply
    464,825.14x = 697,532.66 × 198,587.66
  4. Step 4: Simplify right side
    464,825.14x = 138,521,378,722.98
  5. Step 5: Solve for x
    x = 138,521,378,722.98/464,825.14
  6. Step 6: Final answer
    x = 298,007.50

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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.