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Finding the Fourth Proportional to 464,176.50, 640,773.41 and 292,347

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Solution

The fourth proportional to 464,176.50, 640,773.41 and 292,347 is: 403,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,176.50 : 640,773.41 = 292,347 : x
  2. Step 2: Convert to fraction form
    464,176.50/640,773.41 = 292,347/x
  3. Step 3: Cross multiply
    464,176.50x = 640,773.41 × 292,347
  4. Step 4: Simplify right side
    464,176.50x = 187,328,182,631.54
  5. Step 5: Solve for x
    x = 187,328,182,631.54/464,176.50
  6. Step 6: Final answer
    x = 403,571.02

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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.