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Finding the Fourth Proportional to 345,870, 477,300.60 and 194,967

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Solution

The fourth proportional to 345,870, 477,300.60 and 194,967 is: 269,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,870 : 477,300.60 = 194,967 : x
  2. Step 2: Convert to fraction form
    345,870/477,300.60 = 194,967/x
  3. Step 3: Cross multiply
    345,870x = 477,300.60 × 194,967
  4. Step 4: Simplify right side
    345,870x = 93,057,866,080.20
  5. Step 5: Solve for x
    x = 93,057,866,080.20/345,870
  6. Step 6: Final answer
    x = 269,054.46

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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.