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Finding the Fourth Proportional to 541,583.92, 747,409.16 and 299,866.51

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Solution

The fourth proportional to 541,583.92, 747,409.16 and 299,866.51 is: 413,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,583.92 : 747,409.16 = 299,866.51 : x
  2. Step 2: Convert to fraction form
    541,583.92/747,409.16 = 299,866.51/x
  3. Step 3: Cross multiply
    541,583.92x = 747,409.16 × 299,866.51
  4. Step 4: Simplify right side
    541,583.92x = 224,122,972,983.38
  5. Step 5: Solve for x
    x = 224,122,972,983.38/541,583.92
  6. Step 6: Final answer
    x = 413,828.71

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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.