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Finding the Fourth Proportional to 842,615.84, 1,264,243 and 505,891.64

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Solution

The fourth proportional to 842,615.84, 1,264,243 and 505,891.64 is: 759,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,615.84 : 1,264,243 = 505,891.64 : x
  2. Step 2: Convert to fraction form
    842,615.84/1,264,243 = 505,891.64/x
  3. Step 3: Cross multiply
    842,615.84x = 1,264,243 × 505,891.64
  4. Step 4: Simplify right side
    842,615.84x = 639,569,964,628.52
  5. Step 5: Solve for x
    x = 639,569,964,628.52/842,615.84
  6. Step 6: Final answer
    x = 759,029.13

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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.