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Finding the Fourth Proportional to 315,684.54, 473,643.45 and 116,135.37

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Solution

The fourth proportional to 315,684.54, 473,643.45 and 116,135.37 is: 174,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,684.54 : 473,643.45 = 116,135.37 : x
  2. Step 2: Convert to fraction form
    315,684.54/473,643.45 = 116,135.37/x
  3. Step 3: Cross multiply
    315,684.54x = 473,643.45 × 116,135.37
  4. Step 4: Simplify right side
    315,684.54x = 55,006,757,313.83
  5. Step 5: Solve for x
    x = 55,006,757,313.83/315,684.54
  6. Step 6: Final answer
    x = 174,245.97

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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.