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Finding the Fourth Proportional to 342,024.36, 471,984.36 and 186,969.48

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Solution

The fourth proportional to 342,024.36, 471,984.36 and 186,969.48 is: 258,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,024.36 : 471,984.36 = 186,969.48 : x
  2. Step 2: Convert to fraction form
    342,024.36/471,984.36 = 186,969.48/x
  3. Step 3: Cross multiply
    342,024.36x = 471,984.36 × 186,969.48
  4. Step 4: Simplify right side
    342,024.36x = 88,246,670,357.33
  5. Step 5: Solve for x
    x = 88,246,670,357.33/342,024.36
  6. Step 6: Final answer
    x = 258,012.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.