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Finding the Fourth Proportional to 316,533.56, 474,164.40 and 147,821.24

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Solution

The fourth proportional to 316,533.56, 474,164.40 and 147,821.24 is: 221,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,533.56 : 474,164.40 = 147,821.24 : x
  2. Step 2: Convert to fraction form
    316,533.56/474,164.40 = 147,821.24/x
  3. Step 3: Cross multiply
    316,533.56x = 474,164.40 × 147,821.24
  4. Step 4: Simplify right side
    316,533.56x = 70,091,569,571.86
  5. Step 5: Solve for x
    x = 70,091,569,571.86/316,533.56
  6. Step 6: Final answer
    x = 221,434.88

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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.