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Finding the Fourth Proportional to 307,618.20, 461,424.52 and 97,256.20

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Solution

The fourth proportional to 307,618.20, 461,424.52 and 97,256.20 is: 145,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,618.20 : 461,424.52 = 97,256.20 : x
  2. Step 2: Convert to fraction form
    307,618.20/461,424.52 = 97,256.20/x
  3. Step 3: Cross multiply
    307,618.20x = 461,424.52 × 97,256.20
  4. Step 4: Simplify right side
    307,618.20x = 44,876,395,402.02
  5. Step 5: Solve for x
    x = 44,876,395,402.02/307,618.20
  6. Step 6: Final answer
    x = 145,883.42

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1.5x scale

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.