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Finding the Fourth Proportional to 313,146.68, 469,707.26 and 144,611.60

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Solution

The fourth proportional to 313,146.68, 469,707.26 and 144,611.60 is: 216,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,146.68 : 469,707.26 = 144,611.60 : x
  2. Step 2: Convert to fraction form
    313,146.68/469,707.26 = 144,611.60/x
  3. Step 3: Cross multiply
    313,146.68x = 469,707.26 × 144,611.60
  4. Step 4: Simplify right side
    313,146.68x = 67,925,115,328.62
  5. Step 5: Solve for x
    x = 67,925,115,328.62/313,146.68
  6. Step 6: Final answer
    x = 216,911.50

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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.