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Finding the Fourth Proportional to 384,714.87, 530,934.01 and 212,629.14

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Solution

The fourth proportional to 384,714.87, 530,934.01 and 212,629.14 is: 293,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,714.87 : 530,934.01 = 212,629.14 : x
  2. Step 2: Convert to fraction form
    384,714.87/530,934.01 = 212,629.14/x
  3. Step 3: Cross multiply
    384,714.87x = 530,934.01 × 212,629.14
  4. Step 4: Simplify right side
    384,714.87x = 112,892,039,288.38
  5. Step 5: Solve for x
    x = 112,892,039,288.38/384,714.87
  6. Step 6: Final answer
    x = 293,443.40

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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.