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Finding the Fourth Proportional to 328,534.70, 492,024.45 and 222,781.10

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Solution

The fourth proportional to 328,534.70, 492,024.45 and 222,781.10 is: 333,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,534.70 : 492,024.45 = 222,781.10 : x
  2. Step 2: Convert to fraction form
    328,534.70/492,024.45 = 222,781.10/x
  3. Step 3: Cross multiply
    328,534.70x = 492,024.45 × 222,781.10
  4. Step 4: Simplify right side
    328,534.70x = 109,613,748,197.90
  5. Step 5: Solve for x
    x = 109,613,748,197.90/328,534.70
  6. Step 6: Final answer
    x = 333,644.36

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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.