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Finding the Fourth Proportional to 190,472.57, 285,705.95 and 46,379.74

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Solution

The fourth proportional to 190,472.57, 285,705.95 and 46,379.74 is: 69,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,472.57 : 285,705.95 = 46,379.74 : x
  2. Step 2: Convert to fraction form
    190,472.57/285,705.95 = 46,379.74/x
  3. Step 3: Cross multiply
    190,472.57x = 285,705.95 × 46,379.74
  4. Step 4: Simplify right side
    190,472.57x = 13,250,967,445.55
  5. Step 5: Solve for x
    x = 13,250,967,445.55/190,472.57
  6. Step 6: Final answer
    x = 69,568.90

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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.