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Finding the Fourth Proportional to 406,407.60, 560,786.94 and 225,074.76

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Solution

The fourth proportional to 406,407.60, 560,786.94 and 225,074.76 is: 310,572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,407.60 : 560,786.94 = 225,074.76 : x
  2. Step 2: Convert to fraction form
    406,407.60/560,786.94 = 225,074.76/x
  3. Step 3: Cross multiply
    406,407.60x = 560,786.94 × 225,074.76
  4. Step 4: Simplify right side
    406,407.60x = 126,218,985,931.63
  5. Step 5: Solve for x
    x = 126,218,985,931.63/406,407.60
  6. Step 6: Final answer
    x = 310,572.41

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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.