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Finding the Fourth Proportional to 538,089.93, 742,578.16 and 293,083.98

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Solution

The fourth proportional to 538,089.93, 742,578.16 and 293,083.98 is: 404,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,089.93 : 742,578.16 = 293,083.98 : x
  2. Step 2: Convert to fraction form
    538,089.93/742,578.16 = 293,083.98/x
  3. Step 3: Cross multiply
    538,089.93x = 742,578.16 × 293,083.98
  4. Step 4: Simplify right side
    538,089.93x = 217,637,762,593.88
  5. Step 5: Solve for x
    x = 217,637,762,593.88/538,089.93
  6. Step 6: Final answer
    x = 404,463.55

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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.