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Finding the Fourth Proportional to 334,065.12, 500,430.06 and 200,872.44

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Solution

The fourth proportional to 334,065.12, 500,430.06 and 200,872.44 is: 300,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,065.12 : 500,430.06 = 200,872.44 : x
  2. Step 2: Convert to fraction form
    334,065.12/500,430.06 = 200,872.44/x
  3. Step 3: Cross multiply
    334,065.12x = 500,430.06 × 200,872.44
  4. Step 4: Simplify right side
    334,065.12x = 100,522,607,201.55
  5. Step 5: Solve for x
    x = 100,522,607,201.55/334,065.12
  6. Step 6: Final answer
    x = 300,907.22

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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.