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Finding the Fourth Proportional to 540,634.24, 811,284.88 and 274,585.69

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Solution

The fourth proportional to 540,634.24, 811,284.88 and 274,585.69 is: 412,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,634.24 : 811,284.88 = 274,585.69 : x
  2. Step 2: Convert to fraction form
    540,634.24/811,284.88 = 274,585.69/x
  3. Step 3: Cross multiply
    540,634.24x = 811,284.88 × 274,585.69
  4. Step 4: Simplify right side
    540,634.24x = 222,767,218,561.37
  5. Step 5: Solve for x
    x = 222,767,218,561.37/540,634.24
  6. Step 6: Final answer
    x = 412,047.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.