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Finding the Fourth Proportional to 615,530.80, 923,382.60 and 194,762.80

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Solution

The fourth proportional to 615,530.80, 923,382.60 and 194,762.80 is: 292,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,530.80 : 923,382.60 = 194,762.80 : x
  2. Step 2: Convert to fraction form
    615,530.80/923,382.60 = 194,762.80/x
  3. Step 3: Cross multiply
    615,530.80x = 923,382.60 × 194,762.80
  4. Step 4: Simplify right side
    615,530.80x = 179,840,580,647.28
  5. Step 5: Solve for x
    x = 179,840,580,647.28/615,530.80
  6. Step 6: Final answer
    x = 292,171.54

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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.