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Finding the Fourth Proportional to 301,814.61, 416,495.45 and 170,980.07

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Solution

The fourth proportional to 301,814.61, 416,495.45 and 170,980.07 is: 235,947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,814.61 : 416,495.45 = 170,980.07 : x
  2. Step 2: Convert to fraction form
    301,814.61/416,495.45 = 170,980.07/x
  3. Step 3: Cross multiply
    301,814.61x = 416,495.45 × 170,980.07
  4. Step 4: Simplify right side
    301,814.61x = 71,212,419,540.65
  5. Step 5: Solve for x
    x = 71,212,419,540.65/301,814.61
  6. Step 6: Final answer
    x = 235,947.56

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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.