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Finding the Fourth Proportional to 384,714.24, 530,933.13 and 212,628.51

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Solution

The fourth proportional to 384,714.24, 530,933.13 and 212,628.51 is: 293,442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,714.24 : 530,933.13 = 212,628.51 : x
  2. Step 2: Convert to fraction form
    384,714.24/530,933.13 = 212,628.51/x
  3. Step 3: Cross multiply
    384,714.24x = 530,933.13 × 212,628.51
  4. Step 4: Simplify right side
    384,714.24x = 112,891,520,192.03
  5. Step 5: Solve for x
    x = 112,891,520,192.03/384,714.24
  6. Step 6: Final answer
    x = 293,442.53

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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.