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Finding the Fourth Proportional to 456,134.62, 683,537.62 and 219,200.50

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Solution

The fourth proportional to 456,134.62, 683,537.62 and 219,200.50 is: 328,481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,134.62 : 683,537.62 = 219,200.50 : x
  2. Step 2: Convert to fraction form
    456,134.62/683,537.62 = 219,200.50/x
  3. Step 3: Cross multiply
    456,134.62x = 683,537.62 × 219,200.50
  4. Step 4: Simplify right side
    456,134.62x = 149,831,791,637.43
  5. Step 5: Solve for x
    x = 149,831,791,637.43/456,134.62
  6. Step 6: Final answer
    x = 328,481.52

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1.5x scale

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.