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Finding the Fourth Proportional to 538,470.24, 743,053.73 and 296,752.87

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Solution

The fourth proportional to 538,470.24, 743,053.73 and 296,752.87 is: 409,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,470.24 : 743,053.73 = 296,752.87 : x
  2. Step 2: Convert to fraction form
    538,470.24/743,053.73 = 296,752.87/x
  3. Step 3: Cross multiply
    538,470.24x = 743,053.73 × 296,752.87
  4. Step 4: Simplify right side
    538,470.24x = 220,503,326,941.71
  5. Step 5: Solve for x
    x = 220,503,326,941.71/538,470.24
  6. Step 6: Final answer
    x = 409,499.56

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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.