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Finding the Fourth Proportional to 320,004.90, 479,569.95 and 213,084.90

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Solution

The fourth proportional to 320,004.90, 479,569.95 and 213,084.90 is: 319,336.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,004.90 : 479,569.95 = 213,084.90 : x
  2. Step 2: Convert to fraction form
    320,004.90/479,569.95 = 213,084.90/x
  3. Step 3: Cross multiply
    320,004.90x = 479,569.95 × 213,084.90
  4. Step 4: Simplify right side
    320,004.90x = 102,189,114,838.76
  5. Step 5: Solve for x
    x = 102,189,114,838.76/320,004.90
  6. Step 6: Final answer
    x = 319,336.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.