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Finding the Fourth Proportional to 389,005.96, 583,368.51 and 164,383.73

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Solution

The fourth proportional to 389,005.96, 583,368.51 and 164,383.73 is: 246,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,005.96 : 583,368.51 = 164,383.73 : x
  2. Step 2: Convert to fraction form
    389,005.96/583,368.51 = 164,383.73/x
  3. Step 3: Cross multiply
    389,005.96x = 583,368.51 × 164,383.73
  4. Step 4: Simplify right side
    389,005.96x = 95,896,291,638.34
  5. Step 5: Solve for x
    x = 95,896,291,638.34/389,005.96
  6. Step 6: Final answer
    x = 246,516.25

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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.