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Finding the Fourth Proportional to 541,925.12, 747,846.78 and 300,206.90

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Solution

The fourth proportional to 541,925.12, 747,846.78 and 300,206.90 is: 414,280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,925.12 : 747,846.78 = 300,206.90 : x
  2. Step 2: Convert to fraction form
    541,925.12/747,846.78 = 300,206.90/x
  3. Step 3: Cross multiply
    541,925.12x = 747,846.78 × 300,206.90
  4. Step 4: Simplify right side
    541,925.12x = 224,508,763,498.78
  5. Step 5: Solve for x
    x = 224,508,763,498.78/541,925.12
  6. Step 6: Final answer
    x = 414,280.05

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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.