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Finding the Fourth Proportional to 489,098.20, 733,647.30 and 405,117.40

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Solution

The fourth proportional to 489,098.20, 733,647.30 and 405,117.40 is: 607,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,098.20 : 733,647.30 = 405,117.40 : x
  2. Step 2: Convert to fraction form
    489,098.20/733,647.30 = 405,117.40/x
  3. Step 3: Cross multiply
    489,098.20x = 733,647.30 × 405,117.40
  4. Step 4: Simplify right side
    489,098.20x = 297,213,286,693.02
  5. Step 5: Solve for x
    x = 297,213,286,693.02/489,098.20
  6. Step 6: Final answer
    x = 607,676.10

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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.