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Finding the Fourth Proportional to 417,690.90, 576,413.97 and 226,704.30

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Solution

The fourth proportional to 417,690.90, 576,413.97 and 226,704.30 is: 312,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,690.90 : 576,413.97 = 226,704.30 : x
  2. Step 2: Convert to fraction form
    417,690.90/576,413.97 = 226,704.30/x
  3. Step 3: Cross multiply
    417,690.90x = 576,413.97 × 226,704.30
  4. Step 4: Simplify right side
    417,690.90x = 130,675,525,579.07
  5. Step 5: Solve for x
    x = 130,675,525,579.07/417,690.90
  6. Step 6: Final answer
    x = 312,852.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.