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Finding the Fourth Proportional to 401,071.20, 601,693.20 and 120,616.80

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Solution

The fourth proportional to 401,071.20, 601,693.20 and 120,616.80 is: 180,951.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,071.20 : 601,693.20 = 120,616.80 : x
  2. Step 2: Convert to fraction form
    401,071.20/601,693.20 = 120,616.80/x
  3. Step 3: Cross multiply
    401,071.20x = 601,693.20 × 120,616.80
  4. Step 4: Simplify right side
    401,071.20x = 72,574,308,365.76
  5. Step 5: Solve for x
    x = 72,574,308,365.76/401,071.20
  6. Step 6: Final answer
    x = 180,951.18

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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.