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Finding the Fourth Proportional to 224,487.58, 309,711.63 and 172,820.46

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Solution

The fourth proportional to 224,487.58, 309,711.63 and 172,820.46 is: 238,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,487.58 : 309,711.63 = 172,820.46 : x
  2. Step 2: Convert to fraction form
    224,487.58/309,711.63 = 172,820.46/x
  3. Step 3: Cross multiply
    224,487.58x = 309,711.63 × 172,820.46
  4. Step 4: Simplify right side
    224,487.58x = 53,524,505,844.21
  5. Step 5: Solve for x
    x = 53,524,505,844.21/224,487.58
  6. Step 6: Final answer
    x = 238,429.70

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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.