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Finding the Fourth Proportional to 489,117.40, 733,676.10 and 400,543.90

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Solution

The fourth proportional to 489,117.40, 733,676.10 and 400,543.90 is: 600,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,117.40 : 733,676.10 = 400,543.90 : x
  2. Step 2: Convert to fraction form
    489,117.40/733,676.10 = 400,543.90/x
  3. Step 3: Cross multiply
    489,117.40x = 733,676.10 × 400,543.90
  4. Step 4: Simplify right side
    489,117.40x = 293,869,486,430.79
  5. Step 5: Solve for x
    x = 293,869,486,430.79/489,117.40
  6. Step 6: Final answer
    x = 600,815.85

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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.