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Finding the Fourth Proportional to 512,936.94, 708,050.52 and 459,127.02

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Solution

The fourth proportional to 512,936.94, 708,050.52 and 459,127.02 is: 633,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,936.94 : 708,050.52 = 459,127.02 : x
  2. Step 2: Convert to fraction form
    512,936.94/708,050.52 = 459,127.02/x
  3. Step 3: Cross multiply
    512,936.94x = 708,050.52 × 459,127.02
  4. Step 4: Simplify right side
    512,936.94x = 325,085,125,257.05
  5. Step 5: Solve for x
    x = 325,085,125,257.05/512,936.94
  6. Step 6: Final answer
    x = 633,772.11

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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.