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Finding the Fourth Proportional to 317,177.13, 475,784.91 and 127,636.77

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Solution

The fourth proportional to 317,177.13, 475,784.91 and 127,636.77 is: 191,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,177.13 : 475,784.91 = 127,636.77 : x
  2. Step 2: Convert to fraction form
    317,177.13/475,784.91 = 127,636.77/x
  3. Step 3: Cross multiply
    317,177.13x = 475,784.91 × 127,636.77
  4. Step 4: Simplify right side
    317,177.13x = 60,727,649,127.14
  5. Step 5: Solve for x
    x = 60,727,649,127.14/317,177.13
  6. Step 6: Final answer
    x = 191,462.89

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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.