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Finding the Fourth Proportional to 413,315.18, 570,228.20 and 270,157.82

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Solution

The fourth proportional to 413,315.18, 570,228.20 and 270,157.82 is: 372,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,315.18 : 570,228.20 = 270,157.82 : x
  2. Step 2: Convert to fraction form
    413,315.18/570,228.20 = 270,157.82/x
  3. Step 3: Cross multiply
    413,315.18x = 570,228.20 × 270,157.82
  4. Step 4: Simplify right side
    413,315.18x = 154,051,607,414.52
  5. Step 5: Solve for x
    x = 154,051,607,414.52/413,315.18
  6. Step 6: Final answer
    x = 372,721.87

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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.