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Finding the Fourth Proportional to 420,642.84, 580,484.12 and 229,656.23

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Solution

The fourth proportional to 420,642.84, 580,484.12 and 229,656.23 is: 316,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,642.84 : 580,484.12 = 229,656.23 : x
  2. Step 2: Convert to fraction form
    420,642.84/580,484.12 = 229,656.23/x
  3. Step 3: Cross multiply
    420,642.84x = 580,484.12 × 229,656.23
  4. Step 4: Simplify right side
    420,642.84x = 133,311,790,523.37
  5. Step 5: Solve for x
    x = 133,311,790,523.37/420,642.84
  6. Step 6: Final answer
    x = 316,923.95

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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.