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Finding the Fourth Proportional to 402,086.94, 554,908.26 and 265,884.24

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Solution

The fourth proportional to 402,086.94, 554,908.26 and 265,884.24 is: 366,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,086.94 : 554,908.26 = 265,884.24 : x
  2. Step 2: Convert to fraction form
    402,086.94/554,908.26 = 265,884.24/x
  3. Step 3: Cross multiply
    402,086.94x = 554,908.26 × 265,884.24
  4. Step 4: Simplify right side
    402,086.94x = 147,541,360,979.82
  5. Step 5: Solve for x
    x = 147,541,360,979.82/402,086.94
  6. Step 6: Final answer
    x = 366,938.95

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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.