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Finding the Fourth Proportional to 428,393.62, 642,597.25 and 162,082.63

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Solution

The fourth proportional to 428,393.62, 642,597.25 and 162,082.63 is: 243,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,393.62 : 642,597.25 = 162,082.63 : x
  2. Step 2: Convert to fraction form
    428,393.62/642,597.25 = 162,082.63/x
  3. Step 3: Cross multiply
    428,393.62x = 642,597.25 × 162,082.63
  4. Step 4: Simplify right side
    428,393.62x = 104,153,852,310.77
  5. Step 5: Solve for x
    x = 104,153,852,310.77/428,393.62
  6. Step 6: Final answer
    x = 243,126.53

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Why These Related Problems?

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