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Finding the Fourth Proportional to 413,338.50, 619,430.13 and 223,389.36

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Solution

The fourth proportional to 413,338.50, 619,430.13 and 223,389.36 is: 334,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,338.50 : 619,430.13 = 223,389.36 : x
  2. Step 2: Convert to fraction form
    413,338.50/619,430.13 = 223,389.36/x
  3. Step 3: Cross multiply
    413,338.50x = 619,430.13 × 223,389.36
  4. Step 4: Simplify right side
    413,338.50x = 138,374,100,305.42
  5. Step 5: Solve for x
    x = 138,374,100,305.42/413,338.50
  6. Step 6: Final answer
    x = 334,771.86

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