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Finding the Fourth Proportional to 314,144.44, 433,509.46 and 170,900.84

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Solution

The fourth proportional to 314,144.44, 433,509.46 and 170,900.84 is: 235,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,144.44 : 433,509.46 = 170,900.84 : x
  2. Step 2: Convert to fraction form
    314,144.44/433,509.46 = 170,900.84/x
  3. Step 3: Cross multiply
    314,144.44x = 433,509.46 × 170,900.84
  4. Step 4: Simplify right side
    314,144.44x = 74,087,130,861.95
  5. Step 5: Solve for x
    x = 74,087,130,861.95/314,144.44
  6. Step 6: Final answer
    x = 235,837.79

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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.