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Finding the Fourth Proportional to 489,205.90, 732,824.70 and 329,773.60

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Solution

The fourth proportional to 489,205.90, 732,824.70 and 329,773.60 is: 493,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,205.90 : 732,824.70 = 329,773.60 : x
  2. Step 2: Convert to fraction form
    489,205.90/732,824.70 = 329,773.60/x
  3. Step 3: Cross multiply
    489,205.90x = 732,824.70 × 329,773.60
  4. Step 4: Simplify right side
    489,205.90x = 241,666,239,487.92
  5. Step 5: Solve for x
    x = 241,666,239,487.92/489,205.90
  6. Step 6: Final answer
    x = 493,996.98

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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.