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Finding the Fourth Proportional to 413,071.41, 618,294.90 and 223,261.68

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Solution

The fourth proportional to 413,071.41, 618,294.90 and 223,261.68 is: 334,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,071.41 : 618,294.90 = 223,261.68 : x
  2. Step 2: Convert to fraction form
    413,071.41/618,294.90 = 223,261.68/x
  3. Step 3: Cross multiply
    413,071.41x = 618,294.90 × 223,261.68
  4. Step 4: Simplify right side
    413,071.41x = 138,041,558,109.43
  5. Step 5: Solve for x
    x = 138,041,558,109.43/413,071.41
  6. Step 6: Final answer
    x = 334,183.28

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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.