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Finding the Fourth Proportional to 420,390.03, 580,150.50 and 229,415.73

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Solution

The fourth proportional to 420,390.03, 580,150.50 and 229,415.73 is: 316,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,390.03 : 580,150.50 = 229,415.73 : x
  2. Step 2: Convert to fraction form
    420,390.03/580,150.50 = 229,415.73/x
  3. Step 3: Cross multiply
    420,390.03x = 580,150.50 × 229,415.73
  4. Step 4: Simplify right side
    420,390.03x = 133,095,648,721.96
  5. Step 5: Solve for x
    x = 133,095,648,721.96/420,390.03
  6. Step 6: Final answer
    x = 316,600.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.