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Finding the Fourth Proportional to 464,173.50, 640,769.27 and 292,344.00

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Solution

The fourth proportional to 464,173.50, 640,769.27 and 292,344.00 is: 403,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,173.50 : 640,769.27 = 292,344.00 : x
  2. Step 2: Convert to fraction form
    464,173.50/640,769.27 = 292,344.00/x
  3. Step 3: Cross multiply
    464,173.50x = 640,769.27 × 292,344.00
  4. Step 4: Simplify right side
    464,173.50x = 187,325,047,604.28
  5. Step 5: Solve for x
    x = 187,325,047,604.28/464,173.50
  6. Step 6: Final answer
    x = 403,566.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.