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Finding the Fourth Proportional to 349,298.10, 482,083.62 and 213,410.61

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Solution

The fourth proportional to 349,298.10, 482,083.62 and 213,410.61 is: 294,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,298.10 : 482,083.62 = 213,410.61 : x
  2. Step 2: Convert to fraction form
    349,298.10/482,083.62 = 213,410.61/x
  3. Step 3: Cross multiply
    349,298.10x = 482,083.62 × 213,410.61
  4. Step 4: Simplify right side
    349,298.10x = 102,881,759,415.21
  5. Step 5: Solve for x
    x = 102,881,759,415.21/349,298.10
  6. Step 6: Final answer
    x = 294,538.56

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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.