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Finding the Fourth Proportional to 345,882, 477,317.16 and 186,906

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Solution

The fourth proportional to 345,882, 477,317.16 and 186,906 is: 257,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,882 : 477,317.16 = 186,906 : x
  2. Step 2: Convert to fraction form
    345,882/477,317.16 = 186,906/x
  3. Step 3: Cross multiply
    345,882x = 477,317.16 × 186,906
  4. Step 4: Simplify right side
    345,882x = 89,213,441,106.96
  5. Step 5: Solve for x
    x = 89,213,441,106.96/345,882
  6. Step 6: Final answer
    x = 257,930.28

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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.