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Finding the Fourth Proportional to 314,309.33, 433,777.14 and 193,521.32

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Solution

The fourth proportional to 314,309.33, 433,777.14 and 193,521.32 is: 267,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,309.33 : 433,777.14 = 193,521.32 : x
  2. Step 2: Convert to fraction form
    314,309.33/433,777.14 = 193,521.32/x
  3. Step 3: Cross multiply
    314,309.33x = 433,777.14 × 193,521.32
  4. Step 4: Simplify right side
    314,309.33x = 83,945,124,718.62
  5. Step 5: Solve for x
    x = 83,945,124,718.62/314,309.33
  6. Step 6: Final answer
    x = 267,078.06

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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.