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Finding the Fourth Proportional to 420,145.92, 579,800.96 and 229,158.72

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Solution

The fourth proportional to 420,145.92, 579,800.96 and 229,158.72 is: 316,238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,145.92 : 579,800.96 = 229,158.72 : x
  2. Step 2: Convert to fraction form
    420,145.92/579,800.96 = 229,158.72/x
  3. Step 3: Cross multiply
    420,145.92x = 579,800.96 × 229,158.72
  4. Step 4: Simplify right side
    420,145.92x = 132,866,445,848.37
  5. Step 5: Solve for x
    x = 132,866,445,848.37/420,145.92
  6. Step 6: Final answer
    x = 316,238.81

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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.