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Finding the Fourth Proportional to 312,480.93, 468,867.20 and 186,117.69

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Solution

The fourth proportional to 312,480.93, 468,867.20 and 186,117.69 is: 279,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,480.93 : 468,867.20 = 186,117.69 : x
  2. Step 2: Convert to fraction form
    312,480.93/468,867.20 = 186,117.69/x
  3. Step 3: Cross multiply
    312,480.93x = 468,867.20 × 186,117.69
  4. Step 4: Simplify right side
    312,480.93x = 87,264,479,250.18
  5. Step 5: Solve for x
    x = 87,264,479,250.18/312,480.93
  6. Step 6: Final answer
    x = 279,263.38

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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.