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Finding the Fourth Proportional to 413,264.45, 570,158.26 and 270,107.08

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Solution

The fourth proportional to 413,264.45, 570,158.26 and 270,107.08 is: 372,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,264.45 : 570,158.26 = 270,107.08 : x
  2. Step 2: Convert to fraction form
    413,264.45/570,158.26 = 270,107.08/x
  3. Step 3: Cross multiply
    413,264.45x = 570,158.26 × 270,107.08
  4. Step 4: Simplify right side
    413,264.45x = 154,003,780,645.82
  5. Step 5: Solve for x
    x = 154,003,780,645.82/413,264.45
  6. Step 6: Final answer
    x = 372,651.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.