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Finding the Fourth Proportional to 346,334.70, 519,759.17 and 262,200.81

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Solution

The fourth proportional to 346,334.70, 519,759.17 and 262,200.81 is: 393,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,334.70 : 519,759.17 = 262,200.81 : x
  2. Step 2: Convert to fraction form
    346,334.70/519,759.17 = 262,200.81/x
  3. Step 3: Cross multiply
    346,334.70x = 519,759.17 × 262,200.81
  4. Step 4: Simplify right side
    346,334.70x = 136,281,275,378.93
  5. Step 5: Solve for x
    x = 136,281,275,378.93/346,334.70
  6. Step 6: Final answer
    x = 393,495.87

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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.