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Finding the Fourth Proportional to 406,783.92, 610,263.96 and 166,898.36

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Solution

The fourth proportional to 406,783.92, 610,263.96 and 166,898.36 is: 250,383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,783.92 : 610,263.96 = 166,898.36 : x
  2. Step 2: Convert to fraction form
    406,783.92/610,263.96 = 166,898.36/x
  3. Step 3: Cross multiply
    406,783.92x = 610,263.96 × 166,898.36
  4. Step 4: Simplify right side
    406,783.92x = 101,852,054,091.11
  5. Step 5: Solve for x
    x = 101,852,054,091.11/406,783.92
  6. Step 6: Final answer
    x = 250,383.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.