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Finding the Fourth Proportional to 328,682.60, 492,735.90 and 223,159.40

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Solution

The fourth proportional to 328,682.60, 492,735.90 and 223,159.40 is: 334,543.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,682.60 : 492,735.90 = 223,159.40 : x
  2. Step 2: Convert to fraction form
    328,682.60/492,735.90 = 223,159.40/x
  3. Step 3: Cross multiply
    328,682.60x = 492,735.90 × 223,159.40
  4. Step 4: Simplify right side
    328,682.60x = 109,958,647,802.46
  5. Step 5: Solve for x
    x = 109,958,647,802.46/328,682.60
  6. Step 6: Final answer
    x = 334,543.56

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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.