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Finding the Fourth Proportional to 605,429.40, 907,496.10 and 205,699.80

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Solution

The fourth proportional to 605,429.40, 907,496.10 and 205,699.80 is: 308,329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,429.40 : 907,496.10 = 205,699.80 : x
  2. Step 2: Convert to fraction form
    605,429.40/907,496.10 = 205,699.80/x
  3. Step 3: Cross multiply
    605,429.40x = 907,496.10 × 205,699.80
  4. Step 4: Simplify right side
    605,429.40x = 186,671,766,270.78
  5. Step 5: Solve for x
    x = 186,671,766,270.78/605,429.40
  6. Step 6: Final answer
    x = 308,329.54

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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.