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Finding the Fourth Proportional to 428,461.45, 642,748.07 and 158,552.85

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Solution

The fourth proportional to 428,461.45, 642,748.07 and 158,552.85 is: 237,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,461.45 : 642,748.07 = 158,552.85 : x
  2. Step 2: Convert to fraction form
    428,461.45/642,748.07 = 158,552.85/x
  3. Step 3: Cross multiply
    428,461.45x = 642,748.07 × 158,552.85
  4. Step 4: Simplify right side
    428,461.45x = 101,909,538,330.50
  5. Step 5: Solve for x
    x = 101,909,538,330.50/428,461.45
  6. Step 6: Final answer
    x = 237,849.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.