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Finding the Fourth Proportional to 406,601.34, 561,113.15 and 225,316.30

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Solution

The fourth proportional to 406,601.34, 561,113.15 and 225,316.30 is: 310,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,601.34 : 561,113.15 = 225,316.30 : x
  2. Step 2: Convert to fraction form
    406,601.34/561,113.15 = 225,316.30/x
  3. Step 3: Cross multiply
    406,601.34x = 561,113.15 × 225,316.30
  4. Step 4: Simplify right side
    406,601.34x = 126,427,938,839.35
  5. Step 5: Solve for x
    x = 126,427,938,839.35/406,601.34
  6. Step 6: Final answer
    x = 310,938.32

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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.