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Finding the Fourth Proportional to 541,132.34, 747,060.81 and 405,117.38

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Solution

The fourth proportional to 541,132.34, 747,060.81 and 405,117.38 is: 559,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,132.34 : 747,060.81 = 405,117.38 : x
  2. Step 2: Convert to fraction form
    541,132.34/747,060.81 = 405,117.38/x
  3. Step 3: Cross multiply
    541,132.34x = 747,060.81 × 405,117.38
  4. Step 4: Simplify right side
    541,132.34x = 302,647,318,047.88
  5. Step 5: Solve for x
    x = 302,647,318,047.88/541,132.34
  6. Step 6: Final answer
    x = 559,285.22

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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.