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Finding the Fourth Proportional to 413,321.98, 570,653.28 and 252,270.40

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Solution

The fourth proportional to 413,321.98, 570,653.28 and 252,270.40 is: 348,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,321.98 : 570,653.28 = 252,270.40 : x
  2. Step 2: Convert to fraction form
    413,321.98/570,653.28 = 252,270.40/x
  3. Step 3: Cross multiply
    413,321.98x = 570,653.28 × 252,270.40
  4. Step 4: Simplify right side
    413,321.98x = 143,958,931,206.91
  5. Step 5: Solve for x
    x = 143,958,931,206.91/413,321.98
  6. Step 6: Final answer
    x = 348,297.30

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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.