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Finding the Fourth Proportional to 613,075.20, 919,641.60 and 192,364.80

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Solution

The fourth proportional to 613,075.20, 919,641.60 and 192,364.80 is: 288,556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,075.20 : 919,641.60 = 192,364.80 : x
  2. Step 2: Convert to fraction form
    613,075.20/919,641.60 = 192,364.80/x
  3. Step 3: Cross multiply
    613,075.20x = 919,641.60 × 192,364.80
  4. Step 4: Simplify right side
    613,075.20x = 176,906,672,455.68
  5. Step 5: Solve for x
    x = 176,906,672,455.68/613,075.20
  6. Step 6: Final answer
    x = 288,556.24

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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.