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Finding the Fourth Proportional to 406,217.64, 560,586.25 and 224,929.23

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Solution

The fourth proportional to 406,217.64, 560,586.25 and 224,929.23 is: 310,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,217.64 : 560,586.25 = 224,929.23 : x
  2. Step 2: Convert to fraction form
    406,217.64/560,586.25 = 224,929.23/x
  3. Step 3: Cross multiply
    406,217.64x = 560,586.25 × 224,929.23
  4. Step 4: Simplify right side
    406,217.64x = 126,092,233,561.09
  5. Step 5: Solve for x
    x = 126,092,233,561.09/406,217.64
  6. Step 6: Final answer
    x = 310,405.61

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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.