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Finding the Fourth Proportional to 464,745.69, 697,118.55 and 149,424.03

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Solution

The fourth proportional to 464,745.69, 697,118.55 and 149,424.03 is: 224,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,745.69 : 697,118.55 = 149,424.03 : x
  2. Step 2: Convert to fraction form
    464,745.69/697,118.55 = 149,424.03/x
  3. Step 3: Cross multiply
    464,745.69x = 697,118.55 × 149,424.03
  4. Step 4: Simplify right side
    464,745.69x = 104,166,263,128.76
  5. Step 5: Solve for x
    x = 104,166,263,128.76/464,745.69
  6. Step 6: Final answer
    x = 224,136.05

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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.