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Finding the Fourth Proportional to 420,590.64, 580,425.03 and 229,605.48

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Solution

The fourth proportional to 420,590.64, 580,425.03 and 229,605.48 is: 316,860.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,590.64 : 580,425.03 = 229,605.48 : x
  2. Step 2: Convert to fraction form
    420,590.64/580,425.03 = 229,605.48/x
  3. Step 3: Cross multiply
    420,590.64x = 580,425.03 × 229,605.48
  4. Step 4: Simplify right side
    420,590.64x = 133,268,767,617.16
  5. Step 5: Solve for x
    x = 133,268,767,617.16/420,590.64
  6. Step 6: Final answer
    x = 316,860.99

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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.