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Finding the Fourth Proportional to 464,906.93, 697,089.41 and 180,264.93

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Solution

The fourth proportional to 464,906.93, 697,089.41 and 180,264.93 is: 270,292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,906.93 : 697,089.41 = 180,264.93 : x
  2. Step 2: Convert to fraction form
    464,906.93/697,089.41 = 180,264.93/x
  3. Step 3: Cross multiply
    464,906.93x = 697,089.41 × 180,264.93
  4. Step 4: Simplify right side
    464,906.93x = 125,660,770,857.98
  5. Step 5: Solve for x
    x = 125,660,770,857.98/464,906.93
  6. Step 6: Final answer
    x = 270,292.32

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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.