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Finding the Fourth Proportional to 473,436.80, 709,809.60 and 192,809.60

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Solution

The fourth proportional to 473,436.80, 709,809.60 and 192,809.60 is: 289,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,436.80 : 709,809.60 = 192,809.60 : x
  2. Step 2: Convert to fraction form
    473,436.80/709,809.60 = 192,809.60/x
  3. Step 3: Cross multiply
    473,436.80x = 709,809.60 × 192,809.60
  4. Step 4: Simplify right side
    473,436.80x = 136,858,105,052.16
  5. Step 5: Solve for x
    x = 136,858,105,052.16/473,436.80
  6. Step 6: Final answer
    x = 289,073.65

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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.