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Finding the Fourth Proportional to 457,728.71, 631,634.77 and 264,144.47

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Solution

The fourth proportional to 457,728.71, 631,634.77 and 264,144.47 is: 364,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,728.71 : 631,634.77 = 264,144.47 : x
  2. Step 2: Convert to fraction form
    457,728.71/631,634.77 = 264,144.47/x
  3. Step 3: Cross multiply
    457,728.71x = 631,634.77 × 264,144.47
  4. Step 4: Simplify right side
    457,728.71x = 166,842,831,555.22
  5. Step 5: Solve for x
    x = 166,842,831,555.22/457,728.71
  6. Step 6: Final answer
    x = 364,501.57

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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.