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Finding the Fourth Proportional to 541,864.60, 747,797.76 and 300,147.14

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Solution

The fourth proportional to 541,864.60, 747,797.76 and 300,147.14 is: 414,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,864.60 : 747,797.76 = 300,147.14 : x
  2. Step 2: Convert to fraction form
    541,864.60/747,797.76 = 300,147.14/x
  3. Step 3: Cross multiply
    541,864.60x = 747,797.76 × 300,147.14
  4. Step 4: Simplify right side
    541,864.60x = 224,449,358,962.41
  5. Step 5: Solve for x
    x = 224,449,358,962.41/541,864.60
  6. Step 6: Final answer
    x = 414,216.69

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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.