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Finding the Fourth Proportional to 501,146.93, 691,580.59 and 271,703.51

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Solution

The fourth proportional to 501,146.93, 691,580.59 and 271,703.51 is: 374,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,146.93 : 691,580.59 = 271,703.51 : x
  2. Step 2: Convert to fraction form
    501,146.93/691,580.59 = 271,703.51/x
  3. Step 3: Cross multiply
    501,146.93x = 691,580.59 × 271,703.51
  4. Step 4: Simplify right side
    501,146.93x = 187,904,872,207.14
  5. Step 5: Solve for x
    x = 187,904,872,207.14/501,146.93
  6. Step 6: Final answer
    x = 374,949.66

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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.