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Finding the Fourth Proportional to 389,211.77, 583,842.32 and 164,530.33

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Solution

The fourth proportional to 389,211.77, 583,842.32 and 164,530.33 is: 246,805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,211.77 : 583,842.32 = 164,530.33 : x
  2. Step 2: Convert to fraction form
    389,211.77/583,842.32 = 164,530.33/x
  3. Step 3: Cross multiply
    389,211.77x = 583,842.32 × 164,530.33
  4. Step 4: Simplify right side
    389,211.77x = 96,059,769,577.57
  5. Step 5: Solve for x
    x = 96,059,769,577.57/389,211.77
  6. Step 6: Final answer
    x = 246,805.92

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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.