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Finding the Fourth Proportional to 420,421.42, 580,181.40 and 229,434.81

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Solution

The fourth proportional to 420,421.42, 580,181.40 and 229,434.81 is: 316,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,421.42 : 580,181.40 = 229,434.81 : x
  2. Step 2: Convert to fraction form
    420,421.42/580,181.40 = 229,434.81/x
  3. Step 3: Cross multiply
    420,421.42x = 580,181.40 × 229,434.81
  4. Step 4: Simplify right side
    420,421.42x = 133,113,810,134.92
  5. Step 5: Solve for x
    x = 133,113,810,134.92/420,421.42
  6. Step 6: Final answer
    x = 316,619.95

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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.