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Finding the Fourth Proportional to 420,492.42, 580,275.36 and 229,504.14

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Solution

The fourth proportional to 420,492.42, 580,275.36 and 229,504.14 is: 316,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,492.42 : 580,275.36 = 229,504.14 : x
  2. Step 2: Convert to fraction form
    420,492.42/580,275.36 = 229,504.14/x
  3. Step 3: Cross multiply
    420,492.42x = 580,275.36 × 229,504.14
  4. Step 4: Simplify right side
    420,492.42x = 133,175,597,459.99
  5. Step 5: Solve for x
    x = 133,175,597,459.99/420,492.42
  6. Step 6: Final answer
    x = 316,713.43

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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.