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Finding the Fourth Proportional to 416,143.72, 623,953.14 and 229,286.44

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Solution

The fourth proportional to 416,143.72, 623,953.14 and 229,286.44 is: 343,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,143.72 : 623,953.14 = 229,286.44 : x
  2. Step 2: Convert to fraction form
    416,143.72/623,953.14 = 229,286.44/x
  3. Step 3: Cross multiply
    416,143.72x = 623,953.14 × 229,286.44
  4. Step 4: Simplify right side
    416,143.72x = 143,063,994,197.42
  5. Step 5: Solve for x
    x = 143,063,994,197.42/416,143.72
  6. Step 6: Final answer
    x = 343,785.06

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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.