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Finding the Fourth Proportional to 489,206.80, 733,810.20 and 355,805.20

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Solution

The fourth proportional to 489,206.80, 733,810.20 and 355,805.20 is: 533,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,206.80 : 733,810.20 = 355,805.20 : x
  2. Step 2: Convert to fraction form
    489,206.80/733,810.20 = 355,805.20/x
  3. Step 3: Cross multiply
    489,206.80x = 733,810.20 × 355,805.20
  4. Step 4: Simplify right side
    489,206.80x = 261,093,484,973.04
  5. Step 5: Solve for x
    x = 261,093,484,973.04/489,206.80
  6. Step 6: Final answer
    x = 533,707.80

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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.