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Finding the Fourth Proportional to 383,714.34, 529,529.32 and 211,639.02

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Solution

The fourth proportional to 383,714.34, 529,529.32 and 211,639.02 is: 292,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,714.34 : 529,529.32 = 211,639.02 : x
  2. Step 2: Convert to fraction form
    383,714.34/529,529.32 = 211,639.02/x
  3. Step 3: Cross multiply
    383,714.34x = 529,529.32 × 211,639.02
  4. Step 4: Simplify right side
    383,714.34x = 112,069,066,346.07
  5. Step 5: Solve for x
    x = 112,069,066,346.07/383,714.34
  6. Step 6: Final answer
    x = 292,063.80

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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.