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Finding the Fourth Proportional to 410,626.84, 616,135.20 and 284,461.24

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Solution

The fourth proportional to 410,626.84, 616,135.20 and 284,461.24 is: 426,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,626.84 : 616,135.20 = 284,461.24 : x
  2. Step 2: Convert to fraction form
    410,626.84/616,135.20 = 284,461.24/x
  3. Step 3: Cross multiply
    410,626.84x = 616,135.20 × 284,461.24
  4. Step 4: Simplify right side
    410,626.84x = 175,266,582,999.65
  5. Step 5: Solve for x
    x = 175,266,582,999.65/410,626.84
  6. Step 6: Final answer
    x = 426,826.90

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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.