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Finding the Fourth Proportional to 279,938.40, 419,907.60 and 153,529.80

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Solution

The fourth proportional to 279,938.40, 419,907.60 and 153,529.80 is: 230,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,938.40 : 419,907.60 = 153,529.80 : x
  2. Step 2: Convert to fraction form
    279,938.40/419,907.60 = 153,529.80/x
  3. Step 3: Cross multiply
    279,938.40x = 419,907.60 × 153,529.80
  4. Step 4: Simplify right side
    279,938.40x = 64,468,329,846.48
  5. Step 5: Solve for x
    x = 64,468,329,846.48/279,938.40
  6. Step 6: Final answer
    x = 230,294.70

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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.