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Finding the Fourth Proportional to 314,189.48, 433,583.34 and 170,950.52

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Solution

The fourth proportional to 314,189.48, 433,583.34 and 170,950.52 is: 235,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,189.48 : 433,583.34 = 170,950.52 : x
  2. Step 2: Convert to fraction form
    314,189.48/433,583.34 = 170,950.52/x
  3. Step 3: Cross multiply
    314,189.48x = 433,583.34 × 170,950.52
  4. Step 4: Simplify right side
    314,189.48x = 74,121,297,436.34
  5. Step 5: Solve for x
    x = 74,121,297,436.34/314,189.48
  6. Step 6: Final answer
    x = 235,912.73

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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.