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Finding the Fourth Proportional to 541,925.68, 747,857.34 and 300,223.96

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Solution

The fourth proportional to 541,925.68, 747,857.34 and 300,223.96 is: 414,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,925.68 : 747,857.34 = 300,223.96 : x
  2. Step 2: Convert to fraction form
    541,925.68/747,857.34 = 300,223.96/x
  3. Step 3: Cross multiply
    541,925.68x = 747,857.34 × 300,223.96
  4. Step 4: Simplify right side
    541,925.68x = 224,524,692,129.87
  5. Step 5: Solve for x
    x = 224,524,692,129.87/541,925.68
  6. Step 6: Final answer
    x = 414,309.01

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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.