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Finding the Fourth Proportional to 383,914.32, 529,798.16 and 211,833.87

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Solution

The fourth proportional to 383,914.32, 529,798.16 and 211,833.87 is: 292,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,914.32 : 529,798.16 = 211,833.87 : x
  2. Step 2: Convert to fraction form
    383,914.32/529,798.16 = 211,833.87/x
  3. Step 3: Cross multiply
    383,914.32x = 529,798.16 × 211,833.87
  4. Step 4: Simplify right side
    383,914.32x = 112,229,195,081.26
  5. Step 5: Solve for x
    x = 112,229,195,081.26/383,914.32
  6. Step 6: Final answer
    x = 292,328.75

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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.