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Finding the Fourth Proportional to 512,054.82, 706,901.43 and 374,078.91

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Solution

The fourth proportional to 512,054.82, 706,901.43 and 374,078.91 is: 516,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,054.82 : 706,901.43 = 374,078.91 : x
  2. Step 2: Convert to fraction form
    512,054.82/706,901.43 = 374,078.91/x
  3. Step 3: Cross multiply
    512,054.82x = 706,901.43 × 374,078.91
  4. Step 4: Simplify right side
    512,054.82x = 264,436,916,411.84
  5. Step 5: Solve for x
    x = 264,436,916,411.84/512,054.82
  6. Step 6: Final answer
    x = 516,423.06

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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.