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Finding the Fourth Proportional to 415,980.44, 574,051.13 and 224,993.37

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Solution

The fourth proportional to 415,980.44, 574,051.13 and 224,993.37 is: 310,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,980.44 : 574,051.13 = 224,993.37 : x
  2. Step 2: Convert to fraction form
    415,980.44/574,051.13 = 224,993.37/x
  3. Step 3: Cross multiply
    415,980.44x = 574,051.13 × 224,993.37
  4. Step 4: Simplify right side
    415,980.44x = 129,157,697,166.04
  5. Step 5: Solve for x
    x = 129,157,697,166.04/415,980.44
  6. Step 6: Final answer
    x = 310,489.84

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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.