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Finding the Fourth Proportional to 414,521.86, 621,189.51 and 177,801.22

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Solution

The fourth proportional to 414,521.86, 621,189.51 and 177,801.22 is: 266,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,521.86 : 621,189.51 = 177,801.22 : x
  2. Step 2: Convert to fraction form
    414,521.86/621,189.51 = 177,801.22/x
  3. Step 3: Cross multiply
    414,521.86x = 621,189.51 × 177,801.22
  4. Step 4: Simplify right side
    414,521.86x = 110,448,252,729.20
  5. Step 5: Solve for x
    x = 110,448,252,729.20/414,521.86
  6. Step 6: Final answer
    x = 266,447.35

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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.