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Finding the Fourth Proportional to 389,046.75, 583,429.74 and 164,424.57

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Solution

The fourth proportional to 389,046.75, 583,429.74 and 164,424.57 is: 246,577.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,046.75 : 583,429.74 = 164,424.57 : x
  2. Step 2: Convert to fraction form
    389,046.75/583,429.74 = 164,424.57/x
  3. Step 3: Cross multiply
    389,046.75x = 583,429.74 × 164,424.57
  4. Step 4: Simplify right side
    389,046.75x = 95,930,184,124.71
  5. Step 5: Solve for x
    x = 95,930,184,124.71/389,046.75
  6. Step 6: Final answer
    x = 246,577.52

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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.