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Finding the Fourth Proportional to 314,147, 433,673.43 and 193,391.79

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Solution

The fourth proportional to 314,147, 433,673.43 and 193,391.79 is: 266,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,147 : 433,673.43 = 193,391.79 : x
  2. Step 2: Convert to fraction form
    314,147/433,673.43 = 193,391.79/x
  3. Step 3: Cross multiply
    314,147x = 433,673.43 × 193,391.79
  4. Step 4: Simplify right side
    314,147x = 83,868,880,903.14
  5. Step 5: Solve for x
    x = 83,868,880,903.14/314,147
  6. Step 6: Final answer
    x = 266,973.36

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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.