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Finding the Fourth Proportional to 376,095.12, 519,057.16 and 214,956.96

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Solution

The fourth proportional to 376,095.12, 519,057.16 and 214,956.96 is: 296,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,095.12 : 519,057.16 = 214,956.96 : x
  2. Step 2: Convert to fraction form
    376,095.12/519,057.16 = 214,956.96/x
  3. Step 3: Cross multiply
    376,095.12x = 519,057.16 × 214,956.96
  4. Step 4: Simplify right side
    376,095.12x = 111,574,949,179.83
  5. Step 5: Solve for x
    x = 111,574,949,179.83/376,095.12
  6. Step 6: Final answer
    x = 296,666.84

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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.