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Finding the Fourth Proportional to 464,991.61, 697,513.39 and 145,187.64

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Solution

The fourth proportional to 464,991.61, 697,513.39 and 145,187.64 is: 217,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,991.61 : 697,513.39 = 145,187.64 : x
  2. Step 2: Convert to fraction form
    464,991.61/697,513.39 = 145,187.64/x
  3. Step 3: Cross multiply
    464,991.61x = 697,513.39 × 145,187.64
  4. Step 4: Simplify right side
    464,991.61x = 101,270,322,962.50
  5. Step 5: Solve for x
    x = 101,270,322,962.50/464,991.61
  6. Step 6: Final answer
    x = 217,789.57

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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.