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Finding the Fourth Proportional to 406,059.37, 560,355.14 and 224,767.42

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Solution

The fourth proportional to 406,059.37, 560,355.14 and 224,767.42 is: 310,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,059.37 : 560,355.14 = 224,767.42 : x
  2. Step 2: Convert to fraction form
    406,059.37/560,355.14 = 224,767.42/x
  3. Step 3: Cross multiply
    406,059.37x = 560,355.14 × 224,767.42
  4. Step 4: Simplify right side
    406,059.37x = 125,949,579,101.54
  5. Step 5: Solve for x
    x = 125,949,579,101.54/406,059.37
  6. Step 6: Final answer
    x = 310,175.28

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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.