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Finding the Fourth Proportional to 406,025.32, 560,256.28 and 224,736.82

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Solution

The fourth proportional to 406,025.32, 560,256.28 and 224,736.82 is: 310,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,025.32 : 560,256.28 = 224,736.82 : x
  2. Step 2: Convert to fraction form
    406,025.32/560,256.28 = 224,736.82/x
  3. Step 3: Cross multiply
    406,025.32x = 560,256.28 × 224,736.82
  4. Step 4: Simplify right side
    406,025.32x = 125,910,214,752.23
  5. Step 5: Solve for x
    x = 125,910,214,752.23/406,025.32
  6. Step 6: Final answer
    x = 310,104.34

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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.