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Finding the Fourth Proportional to 400,522.69, 552,720.90 and 219,233.01

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Solution

The fourth proportional to 400,522.69, 552,720.90 and 219,233.01 is: 302,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,522.69 : 552,720.90 = 219,233.01 : x
  2. Step 2: Convert to fraction form
    400,522.69/552,720.90 = 219,233.01/x
  3. Step 3: Cross multiply
    400,522.69x = 552,720.90 × 219,233.01
  4. Step 4: Simplify right side
    400,522.69x = 121,174,666,596.91
  5. Step 5: Solve for x
    x = 121,174,666,596.91/400,522.69
  6. Step 6: Final answer
    x = 302,541.33

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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.