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Finding the Fourth Proportional to 535,314.49, 738,730.53 and 305,941.93

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Solution

The fourth proportional to 535,314.49, 738,730.53 and 305,941.93 is: 422,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,314.49 : 738,730.53 = 305,941.93 : x
  2. Step 2: Convert to fraction form
    535,314.49/738,730.53 = 305,941.93/x
  3. Step 3: Cross multiply
    535,314.49x = 738,730.53 × 305,941.93
  4. Step 4: Simplify right side
    535,314.49x = 226,008,642,251.30
  5. Step 5: Solve for x
    x = 226,008,642,251.30/535,314.49
  6. Step 6: Final answer
    x = 422,197.88

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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.