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Finding the Fourth Proportional to 407,196.90, 561,868.32 and 232,764.60

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Solution

The fourth proportional to 407,196.90, 561,868.32 and 232,764.60 is: 321,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,196.90 : 561,868.32 = 232,764.60 : x
  2. Step 2: Convert to fraction form
    407,196.90/561,868.32 = 232,764.60/x
  3. Step 3: Cross multiply
    407,196.90x = 561,868.32 × 232,764.60
  4. Step 4: Simplify right side
    407,196.90x = 130,783,054,757.47
  5. Step 5: Solve for x
    x = 130,783,054,757.47/407,196.90
  6. Step 6: Final answer
    x = 321,178.91

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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.