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Finding the Fourth Proportional to 464,912.60, 697,487.70 and 149,372.60

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Solution

The fourth proportional to 464,912.60, 697,487.70 and 149,372.60 is: 224,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,912.60 : 697,487.70 = 149,372.60 : x
  2. Step 2: Convert to fraction form
    464,912.60/697,487.70 = 149,372.60/x
  3. Step 3: Cross multiply
    464,912.60x = 697,487.70 × 149,372.60
  4. Step 4: Simplify right side
    464,912.60x = 104,185,551,217.02
  5. Step 5: Solve for x
    x = 104,185,551,217.02/464,912.60
  6. Step 6: Final answer
    x = 224,097.07

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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.