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Finding the Fourth Proportional to 464,178.50, 640,776.17 and 292,349

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Solution

The fourth proportional to 464,178.50, 640,776.17 and 292,349 is: 403,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,178.50 : 640,776.17 = 292,349 : x
  2. Step 2: Convert to fraction form
    464,178.50/640,776.17 = 292,349/x
  3. Step 3: Cross multiply
    464,178.50x = 640,776.17 × 292,349
  4. Step 4: Simplify right side
    464,178.50x = 187,330,272,523.33
  5. Step 5: Solve for x
    x = 187,330,272,523.33/464,178.50
  6. Step 6: Final answer
    x = 403,573.78

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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.