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Finding the Fourth Proportional to 541,382, 746,935.36 and 314,983.76

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Solution

The fourth proportional to 541,382, 746,935.36 and 314,983.76 is: 434,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,382 : 746,935.36 = 314,983.76 : x
  2. Step 2: Convert to fraction form
    541,382/746,935.36 = 314,983.76/x
  3. Step 3: Cross multiply
    541,382x = 746,935.36 × 314,983.76
  4. Step 4: Simplify right side
    541,382x = 235,272,508,169.75
  5. Step 5: Solve for x
    x = 235,272,508,169.75/541,382
  6. Step 6: Final answer
    x = 434,577.63

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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.