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Finding the Fourth Proportional to 463,647.38, 695,388.86 and 210,868.66

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Solution

The fourth proportional to 463,647.38, 695,388.86 and 210,868.66 is: 316,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,647.38 : 695,388.86 = 210,868.66 : x
  2. Step 2: Convert to fraction form
    463,647.38/695,388.86 = 210,868.66/x
  3. Step 3: Cross multiply
    463,647.38x = 695,388.86 × 210,868.66
  4. Step 4: Simplify right side
    463,647.38x = 146,635,717,087.13
  5. Step 5: Solve for x
    x = 146,635,717,087.13/463,647.38
  6. Step 6: Final answer
    x = 316,265.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.