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Finding the Fourth Proportional to 412,984.96, 569,985.60 and 234,194.56

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Solution

The fourth proportional to 412,984.96, 569,985.60 and 234,194.56 is: 323,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,984.96 : 569,985.60 = 234,194.56 : x
  2. Step 2: Convert to fraction form
    412,984.96/569,985.60 = 234,194.56/x
  3. Step 3: Cross multiply
    412,984.96x = 569,985.60 × 234,194.56
  4. Step 4: Simplify right side
    412,984.96x = 133,487,526,798.34
  5. Step 5: Solve for x
    x = 133,487,526,798.34/412,984.96
  6. Step 6: Final answer
    x = 323,226.12

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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.