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Finding the Fourth Proportional to 384,101.92, 530,060.66 and 212,019.92

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Solution

The fourth proportional to 384,101.92, 530,060.66 and 212,019.92 is: 292,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,101.92 : 530,060.66 = 212,019.92 : x
  2. Step 2: Convert to fraction form
    384,101.92/530,060.66 = 212,019.92/x
  3. Step 3: Cross multiply
    384,101.92x = 530,060.66 × 212,019.92
  4. Step 4: Simplify right side
    384,101.92x = 112,383,418,728.35
  5. Step 5: Solve for x
    x = 112,383,418,728.35/384,101.92
  6. Step 6: Final answer
    x = 292,587.50

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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.