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Finding the Fourth Proportional to 605,265.60, 907,984.80 and 205,924.80

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Solution

The fourth proportional to 605,265.60, 907,984.80 and 205,924.80 is: 308,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,265.60 : 907,984.80 = 205,924.80 : x
  2. Step 2: Convert to fraction form
    605,265.60/907,984.80 = 205,924.80/x
  3. Step 3: Cross multiply
    605,265.60x = 907,984.80 × 205,924.80
  4. Step 4: Simplify right side
    605,265.60x = 186,976,588,343.04
  5. Step 5: Solve for x
    x = 186,976,588,343.04/605,265.60
  6. Step 6: Final answer
    x = 308,916.60

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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.