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Finding the Fourth Proportional to 295,551.04, 407,841.60 and 161,415.04

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Solution

The fourth proportional to 295,551.04, 407,841.60 and 161,415.04 is: 222,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,551.04 : 407,841.60 = 161,415.04 : x
  2. Step 2: Convert to fraction form
    295,551.04/407,841.60 = 161,415.04/x
  3. Step 3: Cross multiply
    295,551.04x = 407,841.60 × 161,415.04
  4. Step 4: Simplify right side
    295,551.04x = 65,831,768,177.66
  5. Step 5: Solve for x
    x = 65,831,768,177.66/295,551.04
  6. Step 6: Final answer
    x = 222,742.47

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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.