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Finding the Fourth Proportional to 489,301.80, 733,952.70 and 208,847.40

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Solution

The fourth proportional to 489,301.80, 733,952.70 and 208,847.40 is: 313,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,301.80 : 733,952.70 = 208,847.40 : x
  2. Step 2: Convert to fraction form
    489,301.80/733,952.70 = 208,847.40/x
  3. Step 3: Cross multiply
    489,301.80x = 733,952.70 × 208,847.40
  4. Step 4: Simplify right side
    489,301.80x = 153,284,113,117.98
  5. Step 5: Solve for x
    x = 153,284,113,117.98/489,301.80
  6. Step 6: Final answer
    x = 313,271.10

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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.