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Finding the Fourth Proportional to 406,464.16, 610,090.48 and 196,249.76

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Solution

The fourth proportional to 406,464.16, 610,090.48 and 196,249.76 is: 294,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,464.16 : 610,090.48 = 196,249.76 : x
  2. Step 2: Convert to fraction form
    406,464.16/610,090.48 = 196,249.76/x
  3. Step 3: Cross multiply
    406,464.16x = 610,090.48 × 196,249.76
  4. Step 4: Simplify right side
    406,464.16x = 119,730,110,278.29
  5. Step 5: Solve for x
    x = 119,730,110,278.29/406,464.16
  6. Step 6: Final answer
    x = 294,564.99

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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.