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Finding the Fourth Proportional to 420,141.06, 579,801.58 and 229,154.46

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Solution

The fourth proportional to 420,141.06, 579,801.58 and 229,154.46 is: 316,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,141.06 : 579,801.58 = 229,154.46 : x
  2. Step 2: Convert to fraction form
    420,141.06/579,801.58 = 229,154.46/x
  3. Step 3: Cross multiply
    420,141.06x = 579,801.58 × 229,154.46
  4. Step 4: Simplify right side
    420,141.06x = 132,864,117,972.05
  5. Step 5: Solve for x
    x = 132,864,117,972.05/420,141.06
  6. Step 6: Final answer
    x = 316,236.93

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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.