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Finding the Fourth Proportional to 406,265.52, 560,645.92 and 224,977.23

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Solution

The fourth proportional to 406,265.52, 560,645.92 and 224,977.23 is: 310,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,265.52 : 560,645.92 = 224,977.23 : x
  2. Step 2: Convert to fraction form
    406,265.52/560,645.92 = 224,977.23/x
  3. Step 3: Cross multiply
    406,265.52x = 560,645.92 × 224,977.23
  4. Step 4: Simplify right side
    406,265.52x = 126,132,565,529.96
  5. Step 5: Solve for x
    x = 126,132,565,529.96/406,265.52
  6. Step 6: Final answer
    x = 310,468.30

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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.