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Finding the Fourth Proportional to 345,665, 477,017.88 and 186,689

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Solution

The fourth proportional to 345,665, 477,017.88 and 186,689 is: 257,630.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,665 : 477,017.88 = 186,689 : x
  2. Step 2: Convert to fraction form
    345,665/477,017.88 = 186,689/x
  3. Step 3: Cross multiply
    345,665x = 477,017.88 × 186,689
  4. Step 4: Simplify right side
    345,665x = 89,053,990,999.32
  5. Step 5: Solve for x
    x = 89,053,990,999.32/345,665
  6. Step 6: Final answer
    x = 257,630.92

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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.