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Finding the Fourth Proportional to 489,284.80, 733,927.20 and 209,348.80

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Solution

The fourth proportional to 489,284.80, 733,927.20 and 209,348.80 is: 314,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,284.80 : 733,927.20 = 209,348.80 : x
  2. Step 2: Convert to fraction form
    489,284.80/733,927.20 = 209,348.80/x
  3. Step 3: Cross multiply
    489,284.80x = 733,927.20 × 209,348.80
  4. Step 4: Simplify right side
    489,284.80x = 153,646,778,607.36
  5. Step 5: Solve for x
    x = 153,646,778,607.36/489,284.80
  6. Step 6: Final answer
    x = 314,023.20

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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.