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Finding the Fourth Proportional to 514,756.96, 771,979.98 and 154,832.27

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Solution

The fourth proportional to 514,756.96, 771,979.98 and 154,832.27 is: 232,201.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,756.96 : 771,979.98 = 154,832.27 : x
  2. Step 2: Convert to fraction form
    514,756.96/771,979.98 = 154,832.27/x
  3. Step 3: Cross multiply
    514,756.96x = 771,979.98 × 154,832.27
  4. Step 4: Simplify right side
    514,756.96x = 119,527,409,418.68
  5. Step 5: Solve for x
    x = 119,527,409,418.68/514,756.96
  6. Step 6: Final answer
    x = 232,201.64

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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.