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Finding the Fourth Proportional to 406,105.06, 560,418.27 and 224,813.26

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Solution

The fourth proportional to 406,105.06, 560,418.27 and 224,813.26 is: 310,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,105.06 : 560,418.27 = 224,813.26 : x
  2. Step 2: Convert to fraction form
    406,105.06/560,418.27 = 224,813.26/x
  3. Step 3: Cross multiply
    406,105.06x = 560,418.27 × 224,813.26
  4. Step 4: Simplify right side
    406,105.06x = 125,989,458,242.26
  5. Step 5: Solve for x
    x = 125,989,458,242.26/406,105.06
  6. Step 6: Final answer
    x = 310,238.58

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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.