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Finding the Fourth Proportional to 464,563.97, 697,099.86 and 180,265.68

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Solution

The fourth proportional to 464,563.97, 697,099.86 and 180,265.68 is: 270,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,563.97 : 697,099.86 = 180,265.68 : x
  2. Step 2: Convert to fraction form
    464,563.97/697,099.86 = 180,265.68/x
  3. Step 3: Cross multiply
    464,563.97x = 697,099.86 × 180,265.68
  4. Step 4: Simplify right side
    464,563.97x = 125,663,180,290.81
  5. Step 5: Solve for x
    x = 125,663,180,290.81/464,563.97
  6. Step 6: Final answer
    x = 270,497.04

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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.