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Finding the Fourth Proportional to 334,214.93, 461,213.46 and 181,256.49

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Solution

The fourth proportional to 334,214.93, 461,213.46 and 181,256.49 is: 250,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,214.93 : 461,213.46 = 181,256.49 : x
  2. Step 2: Convert to fraction form
    334,214.93/461,213.46 = 181,256.49/x
  3. Step 3: Cross multiply
    334,214.93x = 461,213.46 × 181,256.49
  4. Step 4: Simplify right side
    334,214.93x = 83,597,934,197.52
  5. Step 5: Solve for x
    x = 83,597,934,197.52/334,214.93
  6. Step 6: Final answer
    x = 250,132.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.