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Finding the Fourth Proportional to 328,153.80, 492,246.35 and 159,473.16

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Solution

The fourth proportional to 328,153.80, 492,246.35 and 159,473.16 is: 239,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,153.80 : 492,246.35 = 159,473.16 : x
  2. Step 2: Convert to fraction form
    328,153.80/492,246.35 = 159,473.16/x
  3. Step 3: Cross multiply
    328,153.80x = 492,246.35 × 159,473.16
  4. Step 4: Simplify right side
    328,153.80x = 78,500,080,135.60
  5. Step 5: Solve for x
    x = 78,500,080,135.60/328,153.80
  6. Step 6: Final answer
    x = 239,217.34

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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.