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Finding the Fourth Proportional to 489,083.40, 733,625.10 and 302,200.20

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Solution

The fourth proportional to 489,083.40, 733,625.10 and 302,200.20 is: 453,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,083.40 : 733,625.10 = 302,200.20 : x
  2. Step 2: Convert to fraction form
    489,083.40/733,625.10 = 302,200.20/x
  3. Step 3: Cross multiply
    489,083.40x = 733,625.10 × 302,200.20
  4. Step 4: Simplify right side
    489,083.40x = 221,701,651,945.02
  5. Step 5: Solve for x
    x = 221,701,651,945.02/489,083.40
  6. Step 6: Final answer
    x = 453,300.30

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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.