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Finding the Fourth Proportional to 465,981.56, 697,851.32 and 265,694.73

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Solution

The fourth proportional to 465,981.56, 697,851.32 and 265,694.73 is: 397,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,981.56 : 697,851.32 = 265,694.73 : x
  2. Step 2: Convert to fraction form
    465,981.56/697,851.32 = 265,694.73/x
  3. Step 3: Cross multiply
    465,981.56x = 697,851.32 × 265,694.73
  4. Step 4: Simplify right side
    465,981.56x = 185,415,421,328.72
  5. Step 5: Solve for x
    x = 185,415,421,328.72/465,981.56
  6. Step 6: Final answer
    x = 397,902.92

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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.