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Finding the Fourth Proportional to 294,811.96, 406,851.78 and 160,675.96

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Solution

The fourth proportional to 294,811.96, 406,851.78 and 160,675.96 is: 221,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,811.96 : 406,851.78 = 160,675.96 : x
  2. Step 2: Convert to fraction form
    294,811.96/406,851.78 = 160,675.96/x
  3. Step 3: Cross multiply
    294,811.96x = 406,851.78 × 160,675.96
  4. Step 4: Simplify right side
    294,811.96x = 65,371,300,329.21
  5. Step 5: Solve for x
    x = 65,371,300,329.21/294,811.96
  6. Step 6: Final answer
    x = 221,738.97

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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.