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Finding the Fourth Proportional to 605,442.40, 907,515.60 and 205,712.80

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Solution

The fourth proportional to 605,442.40, 907,515.60 and 205,712.80 is: 308,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,442.40 : 907,515.60 = 205,712.80 : x
  2. Step 2: Convert to fraction form
    605,442.40/907,515.60 = 205,712.80/x
  3. Step 3: Cross multiply
    605,442.40x = 907,515.60 × 205,712.80
  4. Step 4: Simplify right side
    605,442.40x = 186,687,575,119.68
  5. Step 5: Solve for x
    x = 186,687,575,119.68/605,442.40
  6. Step 6: Final answer
    x = 308,349.03

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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.