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Finding the Fourth Proportional to 420,775.46, 580,602.33 and 239,490.47

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Solution

The fourth proportional to 420,775.46, 580,602.33 and 239,490.47 is: 330,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,775.46 : 580,602.33 = 239,490.47 : x
  2. Step 2: Convert to fraction form
    420,775.46/580,602.33 = 239,490.47/x
  3. Step 3: Cross multiply
    420,775.46x = 580,602.33 × 239,490.47
  4. Step 4: Simplify right side
    420,775.46x = 139,048,726,346.30
  5. Step 5: Solve for x
    x = 139,048,726,346.30/420,775.46
  6. Step 6: Final answer
    x = 330,458.26

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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.