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Finding the Fourth Proportional to 415,095.60, 622,643.40 and 377,697.90

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Solution

The fourth proportional to 415,095.60, 622,643.40 and 377,697.90 is: 566,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,095.60 : 622,643.40 = 377,697.90 : x
  2. Step 2: Convert to fraction form
    415,095.60/622,643.40 = 377,697.90/x
  3. Step 3: Cross multiply
    415,095.60x = 622,643.40 × 377,697.90
  4. Step 4: Simplify right side
    415,095.60x = 235,171,104,628.86
  5. Step 5: Solve for x
    x = 235,171,104,628.86/415,095.60
  6. Step 6: Final answer
    x = 566,546.85

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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.