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Finding the Fourth Proportional to 461,667.96, 692,571.06 and 146,019.96

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Solution

The fourth proportional to 461,667.96, 692,571.06 and 146,019.96 is: 219,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,667.96 : 692,571.06 = 146,019.96 : x
  2. Step 2: Convert to fraction form
    461,667.96/692,571.06 = 146,019.96/x
  3. Step 3: Cross multiply
    461,667.96x = 692,571.06 × 146,019.96
  4. Step 4: Simplify right side
    461,667.96x = 101,129,198,478.36
  5. Step 5: Solve for x
    x = 101,129,198,478.36/461,667.96
  6. Step 6: Final answer
    x = 219,051.80

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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.