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Finding the Fourth Proportional to 295,015.90, 406,729.96 and 192,865.74

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Solution

The fourth proportional to 295,015.90, 406,729.96 and 192,865.74 is: 265,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,015.90 : 406,729.96 = 192,865.74 : x
  2. Step 2: Convert to fraction form
    295,015.90/406,729.96 = 192,865.74/x
  3. Step 3: Cross multiply
    295,015.90x = 406,729.96 × 192,865.74
  4. Step 4: Simplify right side
    295,015.90x = 78,444,274,715.57
  5. Step 5: Solve for x
    x = 78,444,274,715.57/295,015.90
  6. Step 6: Final answer
    x = 265,898.46

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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.