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Finding the Fourth Proportional to 400,600.56, 552,829.86 and 219,314.04

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Solution

The fourth proportional to 400,600.56, 552,829.86 and 219,314.04 is: 302,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,600.56 : 552,829.86 = 219,314.04 : x
  2. Step 2: Convert to fraction form
    400,600.56/552,829.86 = 219,314.04/x
  3. Step 3: Cross multiply
    400,600.56x = 552,829.86 × 219,314.04
  4. Step 4: Simplify right side
    400,600.56x = 121,243,350,029.23
  5. Step 5: Solve for x
    x = 121,243,350,029.23/400,600.56
  6. Step 6: Final answer
    x = 302,653.97

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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.