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Finding the Fourth Proportional to 317,045.52, 475,723.94 and 127,498.22

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Solution

The fourth proportional to 317,045.52, 475,723.94 and 127,498.22 is: 191,309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,045.52 : 475,723.94 = 127,498.22 : x
  2. Step 2: Convert to fraction form
    317,045.52/475,723.94 = 127,498.22/x
  3. Step 3: Cross multiply
    317,045.52x = 475,723.94 × 127,498.22
  4. Step 4: Simplify right side
    317,045.52x = 60,653,955,561.39
  5. Step 5: Solve for x
    x = 60,653,955,561.39/317,045.52
  6. Step 6: Final answer
    x = 191,309.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.