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Finding the Fourth Proportional to 406,451.54, 560,897.22 and 225,163.16

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Solution

The fourth proportional to 406,451.54, 560,897.22 and 225,163.16 is: 310,721.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,451.54 : 560,897.22 = 225,163.16 : x
  2. Step 2: Convert to fraction form
    406,451.54/560,897.22 = 225,163.16/x
  3. Step 3: Cross multiply
    406,451.54x = 560,897.22 × 225,163.16
  4. Step 4: Simplify right side
    406,451.54x = 126,293,390,490.42
  5. Step 5: Solve for x
    x = 126,293,390,490.42/406,451.54
  6. Step 6: Final answer
    x = 310,721.89

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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.