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Finding the Fourth Proportional to 406,656.12, 609,811.38 and 166,604.76

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Solution

The fourth proportional to 406,656.12, 609,811.38 and 166,604.76 is: 249,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,656.12 : 609,811.38 = 166,604.76 : x
  2. Step 2: Convert to fraction form
    406,656.12/609,811.38 = 166,604.76/x
  3. Step 3: Cross multiply
    406,656.12x = 609,811.38 × 166,604.76
  4. Step 4: Simplify right side
    406,656.12x = 101,597,478,610.17
  5. Step 5: Solve for x
    x = 101,597,478,610.17/406,656.12
  6. Step 6: Final answer
    x = 249,836.34

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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.