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Finding the Fourth Proportional to 489,905.80, 734,858.70 and 209,451.40

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Solution

The fourth proportional to 489,905.80, 734,858.70 and 209,451.40 is: 314,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,905.80 : 734,858.70 = 209,451.40 : x
  2. Step 2: Convert to fraction form
    489,905.80/734,858.70 = 209,451.40/x
  3. Step 3: Cross multiply
    489,905.80x = 734,858.70 × 209,451.40
  4. Step 4: Simplify right side
    489,905.80x = 153,917,183,517.18
  5. Step 5: Solve for x
    x = 153,917,183,517.18/489,905.80
  6. Step 6: Final answer
    x = 314,177.10

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1.5x scale

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.