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Finding the Fourth Proportional to 514,056.76, 771,269.65 and 229,723.54

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Solution

The fourth proportional to 514,056.76, 771,269.65 and 229,723.54 is: 344,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,056.76 : 771,269.65 = 229,723.54 : x
  2. Step 2: Convert to fraction form
    514,056.76/771,269.65 = 229,723.54/x
  3. Step 3: Cross multiply
    514,056.76x = 771,269.65 × 229,723.54
  4. Step 4: Simplify right side
    514,056.76x = 177,178,791,790.08
  5. Step 5: Solve for x
    x = 177,178,791,790.08/514,056.76
  6. Step 6: Final answer
    x = 344,667.76

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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.