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Finding the Fourth Proportional to 299,973.72, 413,123.58 and 293,441.88

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Solution

The fourth proportional to 299,973.72, 413,123.58 and 293,441.88 is: 404,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,973.72 : 413,123.58 = 293,441.88 : x
  2. Step 2: Convert to fraction form
    299,973.72/413,123.58 = 293,441.88/x
  3. Step 3: Cross multiply
    299,973.72x = 413,123.58 × 293,441.88
  4. Step 4: Simplify right side
    299,973.72x = 121,227,759,987.53
  5. Step 5: Solve for x
    x = 121,227,759,987.53/299,973.72
  6. Step 6: Final answer
    x = 404,127.93

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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.