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Finding the Fourth Proportional to 408,968.40, 613,379.70 and 258,940.20

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Solution

The fourth proportional to 408,968.40, 613,379.70 and 258,940.20 is: 388,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,968.40 : 613,379.70 = 258,940.20 : x
  2. Step 2: Convert to fraction form
    408,968.40/613,379.70 = 258,940.20/x
  3. Step 3: Cross multiply
    408,968.40x = 613,379.70 × 258,940.20
  4. Step 4: Simplify right side
    408,968.40x = 158,828,662,193.94
  5. Step 5: Solve for x
    x = 158,828,662,193.94/408,968.40
  6. Step 6: Final answer
    x = 388,364.14

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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.