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Finding the Fourth Proportional to 295,897.72, 408,224.08 and 188,448.52

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Solution

The fourth proportional to 295,897.72, 408,224.08 and 188,448.52 is: 259,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,897.72 : 408,224.08 = 188,448.52 : x
  2. Step 2: Convert to fraction form
    295,897.72/408,224.08 = 188,448.52/x
  3. Step 3: Cross multiply
    295,897.72x = 408,224.08 × 188,448.52
  4. Step 4: Simplify right side
    295,897.72x = 76,929,223,704.36
  5. Step 5: Solve for x
    x = 76,929,223,704.36/295,897.72
  6. Step 6: Final answer
    x = 259,985.86

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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.