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Finding the Fourth Proportional to 464,989.50, 697,490.73 and 132,565.50

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Solution

The fourth proportional to 464,989.50, 697,490.73 and 132,565.50 is: 198,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,989.50 : 697,490.73 = 132,565.50 : x
  2. Step 2: Convert to fraction form
    464,989.50/697,490.73 = 132,565.50/x
  3. Step 3: Cross multiply
    464,989.50x = 697,490.73 × 132,565.50
  4. Step 4: Simplify right side
    464,989.50x = 92,463,207,367.82
  5. Step 5: Solve for x
    x = 92,463,207,367.82/464,989.50
  6. Step 6: Final answer
    x = 198,850.10

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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.