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Finding the Fourth Proportional to 420,483.42, 580,262.94 and 229,495.14

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Solution

The fourth proportional to 420,483.42, 580,262.94 and 229,495.14 is: 316,701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,483.42 : 580,262.94 = 229,495.14 : x
  2. Step 2: Convert to fraction form
    420,483.42/580,262.94 = 229,495.14/x
  3. Step 3: Cross multiply
    420,483.42x = 580,262.94 × 229,495.14
  4. Step 4: Simplify right side
    420,483.42x = 133,167,524,652.11
  5. Step 5: Solve for x
    x = 133,167,524,652.11/420,483.42
  6. Step 6: Final answer
    x = 316,701.01

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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.