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Finding the Fourth Proportional to 229,677.20, 343,738.20 and 201,683.60

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Solution

The fourth proportional to 229,677.20, 343,738.20 and 201,683.60 is: 301,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,677.20 : 343,738.20 = 201,683.60 : x
  2. Step 2: Convert to fraction form
    229,677.20/343,738.20 = 201,683.60/x
  3. Step 3: Cross multiply
    229,677.20x = 343,738.20 × 201,683.60
  4. Step 4: Simplify right side
    229,677.20x = 69,326,357,633.52
  5. Step 5: Solve for x
    x = 69,326,357,633.52/229,677.20
  6. Step 6: Final answer
    x = 301,842.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.