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Finding the Fourth Proportional to 615,443.80, 923,073.36 and 194,665

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Solution

The fourth proportional to 615,443.80, 923,073.36 and 194,665 is: 291,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,443.80 : 923,073.36 = 194,665 : x
  2. Step 2: Convert to fraction form
    615,443.80/923,073.36 = 194,665/x
  3. Step 3: Cross multiply
    615,443.80x = 923,073.36 × 194,665
  4. Step 4: Simplify right side
    615,443.80x = 179,690,075,624.40
  5. Step 5: Solve for x
    x = 179,690,075,624.40/615,443.80
  6. Step 6: Final answer
    x = 291,968.29

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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.