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Finding the Fourth Proportional to 467,896.64, 644,935.78 and 365,741.88

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Solution

The fourth proportional to 467,896.64, 644,935.78 and 365,741.88 is: 504,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,896.64 : 644,935.78 = 365,741.88 : x
  2. Step 2: Convert to fraction form
    467,896.64/644,935.78 = 365,741.88/x
  3. Step 3: Cross multiply
    467,896.64x = 644,935.78 × 365,741.88
  4. Step 4: Simplify right side
    467,896.64x = 235,880,024,656.47
  5. Step 5: Solve for x
    x = 235,880,024,656.47/467,896.64
  6. Step 6: Final answer
    x = 504,128.49

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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.