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Finding the Fourth Proportional to 314,180, 471,362.80 and 181,155.68

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Solution

The fourth proportional to 314,180, 471,362.80 and 181,155.68 is: 271,787.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,180 : 471,362.80 = 181,155.68 : x
  2. Step 2: Convert to fraction form
    314,180/471,362.80 = 181,155.68/x
  3. Step 3: Cross multiply
    314,180x = 471,362.80 × 181,155.68
  4. Step 4: Simplify right side
    314,180x = 85,390,048,560.70
  5. Step 5: Solve for x
    x = 85,390,048,560.70/314,180
  6. Step 6: Final answer
    x = 271,787.03

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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.