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Finding the Fourth Proportional to 406,066.58, 609,698.64 and 226,502.83

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Solution

The fourth proportional to 406,066.58, 609,698.64 and 226,502.83 is: 340,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,066.58 : 609,698.64 = 226,502.83 : x
  2. Step 2: Convert to fraction form
    406,066.58/609,698.64 = 226,502.83/x
  3. Step 3: Cross multiply
    406,066.58x = 609,698.64 × 226,502.83
  4. Step 4: Simplify right side
    406,066.58x = 138,098,471,126.95
  5. Step 5: Solve for x
    x = 138,098,471,126.95/406,066.58
  6. Step 6: Final answer
    x = 340,088.25

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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.