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Finding the Fourth Proportional to 367,096.64, 506,257.44 and 239,725.76

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Solution

The fourth proportional to 367,096.64, 506,257.44 and 239,725.76 is: 330,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,096.64 : 506,257.44 = 239,725.76 : x
  2. Step 2: Convert to fraction form
    367,096.64/506,257.44 = 239,725.76/x
  3. Step 3: Cross multiply
    367,096.64x = 506,257.44 × 239,725.76
  4. Step 4: Simplify right side
    367,096.64x = 121,362,949,559.65
  5. Step 5: Solve for x
    x = 121,362,949,559.65/367,096.64
  6. Step 6: Final answer
    x = 330,602.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.