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Finding the Fourth Proportional to 334,617.55, 461,743.64 and 191,354.47

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Solution

The fourth proportional to 334,617.55, 461,743.64 and 191,354.47 is: 264,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,617.55 : 461,743.64 = 191,354.47 : x
  2. Step 2: Convert to fraction form
    334,617.55/461,743.64 = 191,354.47/x
  3. Step 3: Cross multiply
    334,617.55x = 461,743.64 × 191,354.47
  4. Step 4: Simplify right side
    334,617.55x = 88,356,708,114.52
  5. Step 5: Solve for x
    x = 88,356,708,114.52/334,617.55
  6. Step 6: Final answer
    x = 264,052.82

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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.