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Finding the Fourth Proportional to 294,858.75, 406,905.35 and 160,722.75

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Solution

The fourth proportional to 294,858.75, 406,905.35 and 160,722.75 is: 221,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,858.75 : 406,905.35 = 160,722.75 : x
  2. Step 2: Convert to fraction form
    294,858.75/406,905.35 = 160,722.75/x
  3. Step 3: Cross multiply
    294,858.75x = 406,905.35 × 160,722.75
  4. Step 4: Simplify right side
    294,858.75x = 65,398,946,841.71
  5. Step 5: Solve for x
    x = 65,398,946,841.71/294,858.75
  6. Step 6: Final answer
    x = 221,797.54

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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.