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Finding the Fourth Proportional to 314,273.16, 471,454.02 and 100,969.56

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Solution

The fourth proportional to 314,273.16, 471,454.02 and 100,969.56 is: 151,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,273.16 : 471,454.02 = 100,969.56 : x
  2. Step 2: Convert to fraction form
    314,273.16/471,454.02 = 100,969.56/x
  3. Step 3: Cross multiply
    314,273.16x = 471,454.02 × 100,969.56
  4. Step 4: Simplify right side
    314,273.16x = 47,602,504,959.63
  5. Step 5: Solve for x
    x = 47,602,504,959.63/314,273.16
  6. Step 6: Final answer
    x = 151,468.57

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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.