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Finding the Fourth Proportional to 315,464.50, 472,963.47 and 190,777.78

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Solution

The fourth proportional to 315,464.50, 472,963.47 and 190,777.78 is: 286,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,464.50 : 472,963.47 = 190,777.78 : x
  2. Step 2: Convert to fraction form
    315,464.50/472,963.47 = 190,777.78/x
  3. Step 3: Cross multiply
    315,464.50x = 472,963.47 × 190,777.78
  4. Step 4: Simplify right side
    315,464.50x = 90,230,920,827.70
  5. Step 5: Solve for x
    x = 90,230,920,827.70/315,464.50
  6. Step 6: Final answer
    x = 286,025.59

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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.