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Finding the Fourth Proportional to 345,950.40, 477,434.88 and 193,016.16

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Solution

The fourth proportional to 345,950.40, 477,434.88 and 193,016.16 is: 266,375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,950.40 : 477,434.88 = 193,016.16 : x
  2. Step 2: Convert to fraction form
    345,950.40/477,434.88 = 193,016.16/x
  3. Step 3: Cross multiply
    345,950.40x = 477,434.88 × 193,016.16
  4. Step 4: Simplify right side
    345,950.40x = 92,152,647,187.66
  5. Step 5: Solve for x
    x = 92,152,647,187.66/345,950.40
  6. Step 6: Final answer
    x = 266,375.32

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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.