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Finding the Fourth Proportional to 301,483.53, 416,031.66 and 178,981.02

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Solution

The fourth proportional to 301,483.53, 416,031.66 and 178,981.02 is: 246,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,483.53 : 416,031.66 = 178,981.02 : x
  2. Step 2: Convert to fraction form
    301,483.53/416,031.66 = 178,981.02/x
  3. Step 3: Cross multiply
    301,483.53x = 416,031.66 × 178,981.02
  4. Step 4: Simplify right side
    301,483.53x = 74,461,770,859.09
  5. Step 5: Solve for x
    x = 74,461,770,859.09/301,483.53
  6. Step 6: Final answer
    x = 246,984.54

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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.