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Finding the Fourth Proportional to 541,798.29, 748,184.22 and 405,595.78

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Solution

The fourth proportional to 541,798.29, 748,184.22 and 405,595.78 is: 560,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,798.29 : 748,184.22 = 405,595.78 : x
  2. Step 2: Convert to fraction form
    541,798.29/748,184.22 = 405,595.78/x
  3. Step 3: Cross multiply
    541,798.29x = 748,184.22 × 405,595.78
  4. Step 4: Simplify right side
    541,798.29x = 303,460,360,424.13
  5. Step 5: Solve for x
    x = 303,460,360,424.13/541,798.29
  6. Step 6: Final answer
    x = 560,098.41

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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.