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Finding the Fourth Proportional to 315,034.94, 472,017.81 and 190,113.50

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Solution

The fourth proportional to 315,034.94, 472,017.81 and 190,113.50 is: 284,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,034.94 : 472,017.81 = 190,113.50 : x
  2. Step 2: Convert to fraction form
    315,034.94/472,017.81 = 190,113.50/x
  3. Step 3: Cross multiply
    315,034.94x = 472,017.81 × 190,113.50
  4. Step 4: Simplify right side
    315,034.94x = 89,736,957,921.44
  5. Step 5: Solve for x
    x = 89,736,957,921.44/315,034.94
  6. Step 6: Final answer
    x = 284,847.64

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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.