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Finding the Fourth Proportional to 551,806.10, 827,724.64 and 152,446.94

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Solution

The fourth proportional to 551,806.10, 827,724.64 and 152,446.94 is: 228,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,806.10 : 827,724.64 = 152,446.94 : x
  2. Step 2: Convert to fraction form
    551,806.10/827,724.64 = 152,446.94/x
  3. Step 3: Cross multiply
    551,806.10x = 827,724.64 × 152,446.94
  4. Step 4: Simplify right side
    551,806.10x = 126,184,088,530.60
  5. Step 5: Solve for x
    x = 126,184,088,530.60/551,806.10
  6. Step 6: Final answer
    x = 228,674.69

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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.