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Finding the Fourth Proportional to 313,193.61, 469,475.06 and 180,033.93

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Solution

The fourth proportional to 313,193.61, 469,475.06 and 180,033.93 is: 269,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,193.61 : 469,475.06 = 180,033.93 : x
  2. Step 2: Convert to fraction form
    313,193.61/469,475.06 = 180,033.93/x
  3. Step 3: Cross multiply
    313,193.61x = 469,475.06 × 180,033.93
  4. Step 4: Simplify right side
    313,193.61x = 84,521,439,188.62
  5. Step 5: Solve for x
    x = 84,521,439,188.62/313,193.61
  6. Step 6: Final answer
    x = 269,869.62

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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.