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Finding the Fourth Proportional to 295,226.94, 406,941.66 and 199,567.56

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Solution

The fourth proportional to 295,226.94, 406,941.66 and 199,567.56 is: 275,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,226.94 : 406,941.66 = 199,567.56 : x
  2. Step 2: Convert to fraction form
    295,226.94/406,941.66 = 199,567.56/x
  3. Step 3: Cross multiply
    295,226.94x = 406,941.66 × 199,567.56
  4. Step 4: Simplify right side
    295,226.94x = 81,212,354,148.55
  5. Step 5: Solve for x
    x = 81,212,354,148.55/295,226.94
  6. Step 6: Final answer
    x = 275,084.50

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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.