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Finding the Fourth Proportional to 420,141.87, 579,795.44 and 229,154.67

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Solution

The fourth proportional to 420,141.87, 579,795.44 and 229,154.67 is: 316,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,141.87 : 579,795.44 = 229,154.67 : x
  2. Step 2: Convert to fraction form
    420,141.87/579,795.44 = 229,154.67/x
  3. Step 3: Cross multiply
    420,141.87x = 579,795.44 × 229,154.67
  4. Step 4: Simplify right side
    420,141.87x = 132,862,831,574.93
  5. Step 5: Solve for x
    x = 132,862,831,574.93/420,141.87
  6. Step 6: Final answer
    x = 316,233.26

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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.