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Finding the Fourth Proportional to 301,815.75, 416,505.75 and 174,499.56

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Solution

The fourth proportional to 301,815.75, 416,505.75 and 174,499.56 is: 240,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,815.75 : 416,505.75 = 174,499.56 : x
  2. Step 2: Convert to fraction form
    301,815.75/416,505.75 = 174,499.56/x
  3. Step 3: Cross multiply
    301,815.75x = 416,505.75 × 174,499.56
  4. Step 4: Simplify right side
    301,815.75x = 72,680,070,112.47
  5. Step 5: Solve for x
    x = 72,680,070,112.47/301,815.75
  6. Step 6: Final answer
    x = 240,809.40

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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.