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Finding the Fourth Proportional to 376,102.05, 518,894.60 and 214,842.93

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Solution

The fourth proportional to 376,102.05, 518,894.60 and 214,842.93 is: 296,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,102.05 : 518,894.60 = 214,842.93 : x
  2. Step 2: Convert to fraction form
    376,102.05/518,894.60 = 214,842.93/x
  3. Step 3: Cross multiply
    376,102.05x = 518,894.60 × 214,842.93
  4. Step 4: Simplify right side
    376,102.05x = 111,480,835,150.96
  5. Step 5: Solve for x
    x = 111,480,835,150.96/376,102.05
  6. Step 6: Final answer
    x = 296,411.13

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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.