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Finding the Fourth Proportional to 406,617.71, 561,144.74 and 225,312.67

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Solution

The fourth proportional to 406,617.71, 561,144.74 and 225,312.67 is: 310,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,617.71 : 561,144.74 = 225,312.67 : x
  2. Step 2: Convert to fraction form
    406,617.71/561,144.74 = 225,312.67/x
  3. Step 3: Cross multiply
    406,617.71x = 561,144.74 × 225,312.67
  4. Step 4: Simplify right side
    406,617.71x = 126,433,017,096.43
  5. Step 5: Solve for x
    x = 126,433,017,096.43/406,617.71
  6. Step 6: Final answer
    x = 310,938.30

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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.