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Finding the Fourth Proportional to 406,969.92, 561,654 and 237,200.40

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Solution

The fourth proportional to 406,969.92, 561,654 and 237,200.40 is: 327,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,969.92 : 561,654 = 237,200.40 : x
  2. Step 2: Convert to fraction form
    406,969.92/561,654 = 237,200.40/x
  3. Step 3: Cross multiply
    406,969.92x = 561,654 × 237,200.40
  4. Step 4: Simplify right side
    406,969.92x = 133,224,553,461.60
  5. Step 5: Solve for x
    x = 133,224,553,461.60/406,969.92
  6. Step 6: Final answer
    x = 327,357.25

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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.