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Finding the Fourth Proportional to 329,153.64, 493,357.08 and 151,293.12

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Solution

The fourth proportional to 329,153.64, 493,357.08 and 151,293.12 is: 226,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,153.64 : 493,357.08 = 151,293.12 : x
  2. Step 2: Convert to fraction form
    329,153.64/493,357.08 = 151,293.12/x
  3. Step 3: Cross multiply
    329,153.64x = 493,357.08 × 151,293.12
  4. Step 4: Simplify right side
    329,153.64x = 74,641,531,907.29
  5. Step 5: Solve for x
    x = 74,641,531,907.29/329,153.64
  6. Step 6: Final answer
    x = 226,768.06

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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.