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Finding the Fourth Proportional to 415,682.96, 573,642.36 and 224,696.24

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Solution

The fourth proportional to 415,682.96, 573,642.36 and 224,696.24 is: 310,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,682.96 : 573,642.36 = 224,696.24 : x
  2. Step 2: Convert to fraction form
    415,682.96/573,642.36 = 224,696.24/x
  3. Step 3: Cross multiply
    415,682.96x = 573,642.36 × 224,696.24
  4. Step 4: Simplify right side
    415,682.96x = 128,895,281,396.73
  5. Step 5: Solve for x
    x = 128,895,281,396.73/415,682.96
  6. Step 6: Final answer
    x = 310,080.74

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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.