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Finding the Fourth Proportional to 295,623, 407,959.74 and 161,487

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Solution

The fourth proportional to 295,623, 407,959.74 and 161,487 is: 222,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,623 : 407,959.74 = 161,487 : x
  2. Step 2: Convert to fraction form
    295,623/407,959.74 = 161,487/x
  3. Step 3: Cross multiply
    295,623x = 407,959.74 × 161,487
  4. Step 4: Simplify right side
    295,623x = 65,880,194,533.38
  5. Step 5: Solve for x
    x = 65,880,194,533.38/295,623
  6. Step 6: Final answer
    x = 222,852.06

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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.