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Finding the Fourth Proportional to 406,216.64, 560,584.87 and 224,928.23

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Solution

The fourth proportional to 406,216.64, 560,584.87 and 224,928.23 is: 310,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,216.64 : 560,584.87 = 224,928.23 : x
  2. Step 2: Convert to fraction form
    406,216.64/560,584.87 = 224,928.23/x
  3. Step 3: Cross multiply
    406,216.64x = 560,584.87 × 224,928.23
  4. Step 4: Simplify right side
    406,216.64x = 126,091,359,208.64
  5. Step 5: Solve for x
    x = 126,091,359,208.64/406,216.64
  6. Step 6: Final answer
    x = 310,404.22

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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.