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Finding the Fourth Proportional to 406,133.58, 609,003.01 and 203,642.69

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Solution

The fourth proportional to 406,133.58, 609,003.01 and 203,642.69 is: 305,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,133.58 : 609,003.01 = 203,642.69 : x
  2. Step 2: Convert to fraction form
    406,133.58/609,003.01 = 203,642.69/x
  3. Step 3: Cross multiply
    406,133.58x = 609,003.01 × 203,642.69
  4. Step 4: Simplify right side
    406,133.58x = 124,019,011,174.50
  5. Step 5: Solve for x
    x = 124,019,011,174.50/406,133.58
  6. Step 6: Final answer
    x = 305,365.08

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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.