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Finding the Fourth Proportional to 464,908.60, 697,481.70 and 149,368.60

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Solution

The fourth proportional to 464,908.60, 697,481.70 and 149,368.60 is: 224,091.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,908.60 : 697,481.70 = 149,368.60 : x
  2. Step 2: Convert to fraction form
    464,908.60/697,481.70 = 149,368.60/x
  3. Step 3: Cross multiply
    464,908.60x = 697,481.70 × 149,368.60
  4. Step 4: Simplify right side
    464,908.60x = 104,181,865,054.62
  5. Step 5: Solve for x
    x = 104,181,865,054.62/464,908.60
  6. Step 6: Final answer
    x = 224,091.07

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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.