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Finding the Fourth Proportional to 406,059.44, 560,355.22 and 224,767.48

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Solution

The fourth proportional to 406,059.44, 560,355.22 and 224,767.48 is: 310,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,059.44 : 560,355.22 = 224,767.48 : x
  2. Step 2: Convert to fraction form
    406,059.44/560,355.22 = 224,767.48/x
  3. Step 3: Cross multiply
    406,059.44x = 560,355.22 × 224,767.48
  4. Step 4: Simplify right side
    406,059.44x = 125,949,630,704.25
  5. Step 5: Solve for x
    x = 125,949,630,704.25/406,059.44
  6. Step 6: Final answer
    x = 310,175.35

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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.