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Finding the Fourth Proportional to 464,423.97, 640,632.89 and 292,068.56

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Solution

The fourth proportional to 464,423.97, 640,632.89 and 292,068.56 is: 402,883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,423.97 : 640,632.89 = 292,068.56 : x
  2. Step 2: Convert to fraction form
    464,423.97/640,632.89 = 292,068.56/x
  3. Step 3: Cross multiply
    464,423.97x = 640,632.89 × 292,068.56
  4. Step 4: Simplify right side
    464,423.97x = 187,108,721,007.43
  5. Step 5: Solve for x
    x = 187,108,721,007.43/464,423.97
  6. Step 6: Final answer
    x = 402,883.43

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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.