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Finding the Fourth Proportional to 314,574.14, 471,936 and 101,362.21

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Solution

The fourth proportional to 314,574.14, 471,936 and 101,362.21 is: 152,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,574.14 : 471,936 = 101,362.21 : x
  2. Step 2: Convert to fraction form
    314,574.14/471,936 = 101,362.21/x
  3. Step 3: Cross multiply
    314,574.14x = 471,936 × 101,362.21
  4. Step 4: Simplify right side
    314,574.14x = 47,836,475,938.56
  5. Step 5: Solve for x
    x = 47,836,475,938.56/314,574.14
  6. Step 6: Final answer
    x = 152,067.41

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1.5x scale

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.