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Finding the Fourth Proportional to 224,364.09, 308,992.56 and 219,465.21

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Solution

The fourth proportional to 224,364.09, 308,992.56 and 219,465.21 is: 302,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,364.09 : 308,992.56 = 219,465.21 : x
  2. Step 2: Convert to fraction form
    224,364.09/308,992.56 = 219,465.21/x
  3. Step 3: Cross multiply
    224,364.09x = 308,992.56 × 219,465.21
  4. Step 4: Simplify right side
    224,364.09x = 67,813,117,068.84
  5. Step 5: Solve for x
    x = 67,813,117,068.84/224,364.09
  6. Step 6: Final answer
    x = 302,245.86

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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.