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Finding the Fourth Proportional to 345,890, 477,328.20 and 186,914

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Solution

The fourth proportional to 345,890, 477,328.20 and 186,914 is: 257,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,890 : 477,328.20 = 186,914 : x
  2. Step 2: Convert to fraction form
    345,890/477,328.20 = 186,914/x
  3. Step 3: Cross multiply
    345,890x = 477,328.20 × 186,914
  4. Step 4: Simplify right side
    345,890x = 89,219,323,174.80
  5. Step 5: Solve for x
    x = 89,219,323,174.80/345,890
  6. Step 6: Final answer
    x = 257,941.32

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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.