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Finding the Fourth Proportional to 464,220.56, 640,738.31 and 283,032.38

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Solution

The fourth proportional to 464,220.56, 640,738.31 and 283,032.38 is: 390,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,220.56 : 640,738.31 = 283,032.38 : x
  2. Step 2: Convert to fraction form
    464,220.56/640,738.31 = 283,032.38/x
  3. Step 3: Cross multiply
    464,220.56x = 640,738.31 × 283,032.38
  4. Step 4: Simplify right side
    464,220.56x = 181,349,691,145.91
  5. Step 5: Solve for x
    x = 181,349,691,145.91/464,220.56
  6. Step 6: Final answer
    x = 390,654.16

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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.