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Finding the Fourth Proportional to 517,176.98, 713,736.33 and 287,785.45

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Solution

The fourth proportional to 517,176.98, 713,736.33 and 287,785.45 is: 397,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,176.98 : 713,736.33 = 287,785.45 : x
  2. Step 2: Convert to fraction form
    517,176.98/713,736.33 = 287,785.45/x
  3. Step 3: Cross multiply
    517,176.98x = 713,736.33 × 287,785.45
  4. Step 4: Simplify right side
    517,176.98x = 205,402,932,649.72
  5. Step 5: Solve for x
    x = 205,402,932,649.72/517,176.98
  6. Step 6: Final answer
    x = 397,161.79

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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.