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Finding the Fourth Proportional to 317,176.13, 475,783.41 and 127,635.77

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Solution

The fourth proportional to 317,176.13, 475,783.41 and 127,635.77 is: 191,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,176.13 : 475,783.41 = 127,635.77 : x
  2. Step 2: Convert to fraction form
    317,176.13/475,783.41 = 127,635.77/x
  3. Step 3: Cross multiply
    317,176.13x = 475,783.41 × 127,635.77
  4. Step 4: Simplify right side
    317,176.13x = 60,726,979,509.66
  5. Step 5: Solve for x
    x = 60,726,979,509.66/317,176.13
  6. Step 6: Final answer
    x = 191,461.38

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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.