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Finding the Fourth Proportional to 541,764, 747,386.20 and 350,838.96

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Solution

The fourth proportional to 541,764, 747,386.20 and 350,838.96 is: 483,997.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,764 : 747,386.20 = 350,838.96 : x
  2. Step 2: Convert to fraction form
    541,764/747,386.20 = 350,838.96/x
  3. Step 3: Cross multiply
    541,764x = 747,386.20 × 350,838.96
  4. Step 4: Simplify right side
    541,764x = 262,212,197,126.35
  5. Step 5: Solve for x
    x = 262,212,197,126.35/541,764
  6. Step 6: Final answer
    x = 483,997.09

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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.