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Finding the Fourth Proportional to 476,697.24, 657,845.01 and 261,831.78

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Solution

The fourth proportional to 476,697.24, 657,845.01 and 261,831.78 is: 361,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,697.24 : 657,845.01 = 261,831.78 : x
  2. Step 2: Convert to fraction form
    476,697.24/657,845.01 = 261,831.78/x
  3. Step 3: Cross multiply
    476,697.24x = 657,845.01 × 261,831.78
  4. Step 4: Simplify right side
    476,697.24x = 172,244,729,932.42
  5. Step 5: Solve for x
    x = 172,244,729,932.42/476,697.24
  6. Step 6: Final answer
    x = 361,329.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.