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Finding the Fourth Proportional to 541,646, 747,462.29 and 299,923.37

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Solution

The fourth proportional to 541,646, 747,462.29 and 299,923.37 is: 413,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,646 : 747,462.29 = 299,923.37 : x
  2. Step 2: Convert to fraction form
    541,646/747,462.29 = 299,923.37/x
  3. Step 3: Cross multiply
    541,646x = 747,462.29 × 299,923.37
  4. Step 4: Simplify right side
    541,646x = 224,181,408,964.72
  5. Step 5: Solve for x
    x = 224,181,408,964.72/541,646
  6. Step 6: Final answer
    x = 413,889.16

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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.