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Finding the Fourth Proportional to 341,099.68, 511,712.70 and 116,447.80

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Solution

The fourth proportional to 341,099.68, 511,712.70 and 116,447.80 is: 174,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,099.68 : 511,712.70 = 116,447.80 : x
  2. Step 2: Convert to fraction form
    341,099.68/511,712.70 = 116,447.80/x
  3. Step 3: Cross multiply
    341,099.68x = 511,712.70 × 116,447.80
  4. Step 4: Simplify right side
    341,099.68x = 59,587,818,147.06
  5. Step 5: Solve for x
    x = 59,587,818,147.06/341,099.68
  6. Step 6: Final answer
    x = 174,693.27

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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.