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Finding the Fourth Proportional to 314,146.50, 433,672.74 and 193,391.30

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Solution

The fourth proportional to 314,146.50, 433,672.74 and 193,391.30 is: 266,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,146.50 : 433,672.74 = 193,391.30 : x
  2. Step 2: Convert to fraction form
    314,146.50/433,672.74 = 193,391.30/x
  3. Step 3: Cross multiply
    314,146.50x = 433,672.74 × 193,391.30
  4. Step 4: Simplify right side
    314,146.50x = 83,868,532,794.80
  5. Step 5: Solve for x
    x = 83,868,532,794.80/314,146.50
  6. Step 6: Final answer
    x = 266,972.68

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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.