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Finding the Fourth Proportional to 401,078.04, 601,693 and 161,210.64

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Solution

The fourth proportional to 401,078.04, 601,693 and 161,210.64 is: 241,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,078.04 : 601,693 = 161,210.64 : x
  2. Step 2: Convert to fraction form
    401,078.04/601,693 = 161,210.64/x
  3. Step 3: Cross multiply
    401,078.04x = 601,693 × 161,210.64
  4. Step 4: Simplify right side
    401,078.04x = 96,999,313,613.52
  5. Step 5: Solve for x
    x = 96,999,313,613.52/401,078.04
  6. Step 6: Final answer
    x = 241,846.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.