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Finding the Fourth Proportional to 406,453.51, 560,905.77 and 225,177.22

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Solution

The fourth proportional to 406,453.51, 560,905.77 and 225,177.22 is: 310,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,453.51 : 560,905.77 = 225,177.22 : x
  2. Step 2: Convert to fraction form
    406,453.51/560,905.77 = 225,177.22/x
  3. Step 3: Cross multiply
    406,453.51x = 560,905.77 × 225,177.22
  4. Step 4: Simplify right side
    406,453.51x = 126,303,201,970.56
  5. Step 5: Solve for x
    x = 126,303,201,970.56/406,453.51
  6. Step 6: Final answer
    x = 310,744.52

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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.