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Finding the Fourth Proportional to 391,727.94, 537,063.94 and 384,642.06

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Solution

The fourth proportional to 391,727.94, 537,063.94 and 384,642.06 is: 527,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,727.94 : 537,063.94 = 384,642.06 : x
  2. Step 2: Convert to fraction form
    391,727.94/537,063.94 = 384,642.06/x
  3. Step 3: Cross multiply
    391,727.94x = 537,063.94 × 384,642.06
  4. Step 4: Simplify right side
    391,727.94x = 206,577,380,233.32
  5. Step 5: Solve for x
    x = 206,577,380,233.32/391,727.94
  6. Step 6: Final answer
    x = 527,349.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.