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Finding the Fourth Proportional to 457,015.37, 631,338.14 and 365,013.86

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Solution

The fourth proportional to 457,015.37, 631,338.14 and 365,013.86 is: 504,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,015.37 : 631,338.14 = 365,013.86 : x
  2. Step 2: Convert to fraction form
    457,015.37/631,338.14 = 365,013.86/x
  3. Step 3: Cross multiply
    457,015.37x = 631,338.14 × 365,013.86
  4. Step 4: Simplify right side
    457,015.37x = 230,447,173,937.50
  5. Step 5: Solve for x
    x = 230,447,173,937.50/457,015.37
  6. Step 6: Final answer
    x = 504,243.81

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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.