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Finding the Fourth Proportional to 464,722.90, 697,181.55 and 149,211.70

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Solution

The fourth proportional to 464,722.90, 697,181.55 and 149,211.70 is: 223,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,722.90 : 697,181.55 = 149,211.70 : x
  2. Step 2: Convert to fraction form
    464,722.90/697,181.55 = 149,211.70/x
  3. Step 3: Cross multiply
    464,722.90x = 697,181.55 × 149,211.70
  4. Step 4: Simplify right side
    464,722.90x = 104,027,644,284.14
  5. Step 5: Solve for x
    x = 104,027,644,284.14/464,722.90
  6. Step 6: Final answer
    x = 223,848.76

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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.