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Finding the Fourth Proportional to 541,866.23, 747,775.46 and 300,164.46

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Solution

The fourth proportional to 541,866.23, 747,775.46 and 300,164.46 is: 414,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,866.23 : 747,775.46 = 300,164.46 : x
  2. Step 2: Convert to fraction form
    541,866.23/747,775.46 = 300,164.46/x
  3. Step 3: Cross multiply
    541,866.23x = 747,775.46 × 300,164.46
  4. Step 4: Simplify right side
    541,866.23x = 224,455,617,152.15
  5. Step 5: Solve for x
    x = 224,455,617,152.15/541,866.23
  6. Step 6: Final answer
    x = 414,226.99

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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.