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Finding the Fourth Proportional to 415,106.10, 622,659.15 and 377,708.40

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Solution

The fourth proportional to 415,106.10, 622,659.15 and 377,708.40 is: 566,562.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,106.10 : 622,659.15 = 377,708.40 : x
  2. Step 2: Convert to fraction form
    415,106.10/622,659.15 = 377,708.40/x
  3. Step 3: Cross multiply
    415,106.10x = 622,659.15 × 377,708.40
  4. Step 4: Simplify right side
    415,106.10x = 235,183,591,291.86
  5. Step 5: Solve for x
    x = 235,183,591,291.86/415,106.10
  6. Step 6: Final answer
    x = 566,562.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.