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Finding the Fourth Proportional to 385,639.60, 578,216.40 and 161,156.20

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Solution

The fourth proportional to 385,639.60, 578,216.40 and 161,156.20 is: 241,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,639.60 : 578,216.40 = 161,156.20 : x
  2. Step 2: Convert to fraction form
    385,639.60/578,216.40 = 161,156.20/x
  3. Step 3: Cross multiply
    385,639.60x = 578,216.40 × 161,156.20
  4. Step 4: Simplify right side
    385,639.60x = 93,183,157,801.68
  5. Step 5: Solve for x
    x = 93,183,157,801.68/385,639.60
  6. Step 6: Final answer
    x = 241,632.75

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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.