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Finding the Fourth Proportional to 307,523.58, 461,282.60 and 97,161.50

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Solution

The fourth proportional to 307,523.58, 461,282.60 and 97,161.50 is: 145,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,523.58 : 461,282.60 = 97,161.50 : x
  2. Step 2: Convert to fraction form
    307,523.58/461,282.60 = 97,161.50/x
  3. Step 3: Cross multiply
    307,523.58x = 461,282.60 × 97,161.50
  4. Step 4: Simplify right side
    307,523.58x = 44,818,909,339.90
  5. Step 5: Solve for x
    x = 44,818,909,339.90/307,523.58
  6. Step 6: Final answer
    x = 145,741.37

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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.