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Finding the Fourth Proportional to 342,895, 473,085.75 and 222,128.86

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Solution

The fourth proportional to 342,895, 473,085.75 and 222,128.86 is: 306,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,895 : 473,085.75 = 222,128.86 : x
  2. Step 2: Convert to fraction form
    342,895/473,085.75 = 222,128.86/x
  3. Step 3: Cross multiply
    342,895x = 473,085.75 × 222,128.86
  4. Step 4: Simplify right side
    342,895x = 105,085,998,329.75
  5. Step 5: Solve for x
    x = 105,085,998,329.75/342,895
  6. Step 6: Final answer
    x = 306,466.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.