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Finding the Fourth Proportional to 222,368.86, 306,915.36 and 204,435.46

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Solution

The fourth proportional to 222,368.86, 306,915.36 and 204,435.46 is: 282,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,368.86 : 306,915.36 = 204,435.46 : x
  2. Step 2: Convert to fraction form
    222,368.86/306,915.36 = 204,435.46/x
  3. Step 3: Cross multiply
    222,368.86x = 306,915.36 × 204,435.46
  4. Step 4: Simplify right side
    222,368.86x = 62,744,382,802.67
  5. Step 5: Solve for x
    x = 62,744,382,802.67/222,368.86
  6. Step 6: Final answer
    x = 282,163.53

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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.