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Finding the Fourth Proportional to 541,623.62, 747,431.46 and 299,901

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Solution

The fourth proportional to 541,623.62, 747,431.46 and 299,901 is: 413,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,623.62 : 747,431.46 = 299,901 : x
  2. Step 2: Convert to fraction form
    541,623.62/747,431.46 = 299,901/x
  3. Step 3: Cross multiply
    541,623.62x = 747,431.46 × 299,901
  4. Step 4: Simplify right side
    541,623.62x = 224,155,442,285.46
  5. Step 5: Solve for x
    x = 224,155,442,285.46/541,623.62
  6. Step 6: Final answer
    x = 413,858.32

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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.