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Finding the Fourth Proportional to 317,152.86, 474,796.16 and 211,710.30

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Solution

The fourth proportional to 317,152.86, 474,796.16 and 211,710.30 is: 316,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,152.86 : 474,796.16 = 211,710.30 : x
  2. Step 2: Convert to fraction form
    317,152.86/474,796.16 = 211,710.30/x
  3. Step 3: Cross multiply
    317,152.86x = 474,796.16 × 211,710.30
  4. Step 4: Simplify right side
    317,152.86x = 100,519,237,472.45
  5. Step 5: Solve for x
    x = 100,519,237,472.45/317,152.86
  6. Step 6: Final answer
    x = 316,942.55

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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.