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Finding the Fourth Proportional to 380,095.93, 569,750.22 and 312,829.27

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Solution

The fourth proportional to 380,095.93, 569,750.22 and 312,829.27 is: 468,919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,095.93 : 569,750.22 = 312,829.27 : x
  2. Step 2: Convert to fraction form
    380,095.93/569,750.22 = 312,829.27/x
  3. Step 3: Cross multiply
    380,095.93x = 569,750.22 × 312,829.27
  4. Step 4: Simplify right side
    380,095.93x = 178,234,542,556.19
  5. Step 5: Solve for x
    x = 178,234,542,556.19/380,095.93
  6. Step 6: Final answer
    x = 468,919.90

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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.