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Finding the Fourth Proportional to 512,936.96, 708,050.56 and 459,127.04

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Solution

The fourth proportional to 512,936.96, 708,050.56 and 459,127.04 is: 633,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,936.96 : 708,050.56 = 459,127.04 : x
  2. Step 2: Convert to fraction form
    512,936.96/708,050.56 = 459,127.04/x
  3. Step 3: Cross multiply
    512,936.96x = 708,050.56 × 459,127.04
  4. Step 4: Simplify right side
    512,936.96x = 325,085,157,783.14
  5. Step 5: Solve for x
    x = 325,085,157,783.14/512,936.96
  6. Step 6: Final answer
    x = 633,772.15

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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.