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Finding the Fourth Proportional to 406,022.06, 560,296.14 and 224,734.34

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Solution

The fourth proportional to 406,022.06, 560,296.14 and 224,734.34 is: 310,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,022.06 : 560,296.14 = 224,734.34 : x
  2. Step 2: Convert to fraction form
    406,022.06/560,296.14 = 224,734.34/x
  3. Step 3: Cross multiply
    406,022.06x = 560,296.14 × 224,734.34
  4. Step 4: Simplify right side
    406,022.06x = 125,917,783,227.45
  5. Step 5: Solve for x
    x = 125,917,783,227.45/406,022.06
  6. Step 6: Final answer
    x = 310,125.47

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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.