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Finding the Fourth Proportional to 383,934.32, 529,739.16 and 233,002.16

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Solution

The fourth proportional to 383,934.32, 529,739.16 and 233,002.16 is: 321,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,934.32 : 529,739.16 = 233,002.16 : x
  2. Step 2: Convert to fraction form
    383,934.32/529,739.16 = 233,002.16/x
  3. Step 3: Cross multiply
    383,934.32x = 529,739.16 × 233,002.16
  4. Step 4: Simplify right side
    383,934.32x = 123,430,368,516.59
  5. Step 5: Solve for x
    x = 123,430,368,516.59/383,934.32
  6. Step 6: Final answer
    x = 321,488.24

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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.