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Finding the Fourth Proportional to 313,033.32, 469,495.44 and 144,539.28

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Solution

The fourth proportional to 313,033.32, 469,495.44 and 144,539.28 is: 216,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,033.32 : 469,495.44 = 144,539.28 : x
  2. Step 2: Convert to fraction form
    313,033.32/469,495.44 = 144,539.28/x
  3. Step 3: Cross multiply
    313,033.32x = 469,495.44 × 144,539.28
  4. Step 4: Simplify right side
    313,033.32x = 67,860,532,860.88
  5. Step 5: Solve for x
    x = 67,860,532,860.88/313,033.32
  6. Step 6: Final answer
    x = 216,783.74

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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.