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Finding the Fourth Proportional to 564,433.45, 846,678.64 and 159,654.61

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Solution

The fourth proportional to 564,433.45, 846,678.64 and 159,654.61 is: 239,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,433.45 : 846,678.64 = 159,654.61 : x
  2. Step 2: Convert to fraction form
    564,433.45/846,678.64 = 159,654.61/x
  3. Step 3: Cross multiply
    564,433.45x = 846,678.64 × 159,654.61
  4. Step 4: Simplify right side
    564,433.45x = 135,176,144,777.63
  5. Step 5: Solve for x
    x = 135,176,144,777.63/564,433.45
  6. Step 6: Final answer
    x = 239,489.96

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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.