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Finding the Fourth Proportional to 345,875, 477,314.79 and 194,972

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Solution

The fourth proportional to 345,875, 477,314.79 and 194,972 is: 269,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,875 : 477,314.79 = 194,972 : x
  2. Step 2: Convert to fraction form
    345,875/477,314.79 = 194,972/x
  3. Step 3: Cross multiply
    345,875x = 477,314.79 × 194,972
  4. Step 4: Simplify right side
    345,875x = 93,063,019,235.88
  5. Step 5: Solve for x
    x = 93,063,019,235.88/345,875
  6. Step 6: Final answer
    x = 269,065.47

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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.