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Finding the Fourth Proportional to 541,744, 747,358.64 and 350,818.88

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Solution

The fourth proportional to 541,744, 747,358.64 and 350,818.88 is: 483,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,744 : 747,358.64 = 350,818.88 : x
  2. Step 2: Convert to fraction form
    541,744/747,358.64 = 350,818.88/x
  3. Step 3: Cross multiply
    541,744x = 747,358.64 × 350,818.88
  4. Step 4: Simplify right side
    541,744x = 262,187,521,043.12
  5. Step 5: Solve for x
    x = 262,187,521,043.12/541,744
  6. Step 6: Final answer
    x = 483,969.40

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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.