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Finding the Fourth Proportional to 615,441.30, 923,069.60 and 194,662.50

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Solution

The fourth proportional to 615,441.30, 923,069.60 and 194,662.50 is: 291,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,441.30 : 923,069.60 = 194,662.50 : x
  2. Step 2: Convert to fraction form
    615,441.30/923,069.60 = 194,662.50/x
  3. Step 3: Cross multiply
    615,441.30x = 923,069.60 × 194,662.50
  4. Step 4: Simplify right side
    615,441.30x = 179,687,036,010
  5. Step 5: Solve for x
    x = 179,687,036,010/615,441.30
  6. Step 6: Final answer
    x = 291,964.54

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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.