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Finding the Fourth Proportional to 316,598.37, 474,769.98 and 114,136.85

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Solution

The fourth proportional to 316,598.37, 474,769.98 and 114,136.85 is: 171,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,598.37 : 474,769.98 = 114,136.85 : x
  2. Step 2: Convert to fraction form
    316,598.37/474,769.98 = 114,136.85/x
  3. Step 3: Cross multiply
    316,598.37x = 474,769.98 × 114,136.85
  4. Step 4: Simplify right side
    316,598.37x = 54,188,747,617.91
  5. Step 5: Solve for x
    x = 54,188,747,617.91/316,598.37
  6. Step 6: Final answer
    x = 171,159.28

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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.