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Finding the Fourth Proportional to 410,596.32, 615,933.36 and 161,220

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Solution

The fourth proportional to 410,596.32, 615,933.36 and 161,220 is: 241,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,596.32 : 615,933.36 = 161,220 : x
  2. Step 2: Convert to fraction form
    410,596.32/615,933.36 = 161,220/x
  3. Step 3: Cross multiply
    410,596.32x = 615,933.36 × 161,220
  4. Step 4: Simplify right side
    410,596.32x = 99,300,776,299.20
  5. Step 5: Solve for x
    x = 99,300,776,299.20/410,596.32
  6. Step 6: Final answer
    x = 241,845.27

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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.