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Finding the Fourth Proportional to 492,770.10, 738,118.35 and 409,826.10

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Solution

The fourth proportional to 492,770.10, 738,118.35 and 409,826.10 is: 613,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,770.10 : 738,118.35 = 409,826.10 : x
  2. Step 2: Convert to fraction form
    492,770.10/738,118.35 = 409,826.10/x
  3. Step 3: Cross multiply
    492,770.10x = 738,118.35 × 409,826.10
  4. Step 4: Simplify right side
    492,770.10x = 302,500,164,718.94
  5. Step 5: Solve for x
    x = 302,500,164,718.94/492,770.10
  6. Step 6: Final answer
    x = 613,876.87

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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.