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Finding the Fourth Proportional to 541,408.80, 812,164.40 and 147,424.80

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Solution

The fourth proportional to 541,408.80, 812,164.40 and 147,424.80 is: 221,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,408.80 : 812,164.40 = 147,424.80 : x
  2. Step 2: Convert to fraction form
    541,408.80/812,164.40 = 147,424.80/x
  3. Step 3: Cross multiply
    541,408.80x = 812,164.40 × 147,424.80
  4. Step 4: Simplify right side
    541,408.80x = 119,733,174,237.12
  5. Step 5: Solve for x
    x = 119,733,174,237.12/541,408.80
  6. Step 6: Final answer
    x = 221,151.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.