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Finding the Fourth Proportional to 507,667.64, 761,247.89 and 166,066.47

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Solution

The fourth proportional to 507,667.64, 761,247.89 and 166,066.47 is: 249,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,667.64 : 761,247.89 = 166,066.47 : x
  2. Step 2: Convert to fraction form
    507,667.64/761,247.89 = 166,066.47/x
  3. Step 3: Cross multiply
    507,667.64x = 761,247.89 × 166,066.47
  4. Step 4: Simplify right side
    507,667.64x = 126,417,749,679.67
  5. Step 5: Solve for x
    x = 126,417,749,679.67/507,667.64
  6. Step 6: Final answer
    x = 249,016.76

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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.