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Finding the Fourth Proportional to 413,320.98, 570,651.90 and 252,269.40

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Solution

The fourth proportional to 413,320.98, 570,651.90 and 252,269.40 is: 348,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,320.98 : 570,651.90 = 252,269.40 : x
  2. Step 2: Convert to fraction form
    413,320.98/570,651.90 = 252,269.40/x
  3. Step 3: Cross multiply
    413,320.98x = 570,651.90 × 252,269.40
  4. Step 4: Simplify right side
    413,320.98x = 143,958,012,421.86
  5. Step 5: Solve for x
    x = 143,958,012,421.86/413,320.98
  6. Step 6: Final answer
    x = 348,295.92

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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.