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Finding the Fourth Proportional to 406,023.86, 560,235.09 and 224,727.23

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Solution

The fourth proportional to 406,023.86, 560,235.09 and 224,727.23 is: 310,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,023.86 : 560,235.09 = 224,727.23 : x
  2. Step 2: Convert to fraction form
    406,023.86/560,235.09 = 224,727.23/x
  3. Step 3: Cross multiply
    406,023.86x = 560,235.09 × 224,727.23
  4. Step 4: Simplify right side
    406,023.86x = 125,900,079,924.50
  5. Step 5: Solve for x
    x = 125,900,079,924.50/406,023.86
  6. Step 6: Final answer
    x = 310,080.50

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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.