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Finding the Fourth Proportional to 307,583.90, 461,375.85 and 97,286.30

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Solution

The fourth proportional to 307,583.90, 461,375.85 and 97,286.30 is: 145,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,583.90 : 461,375.85 = 97,286.30 : x
  2. Step 2: Convert to fraction form
    307,583.90/461,375.85 = 97,286.30/x
  3. Step 3: Cross multiply
    307,583.90x = 461,375.85 × 97,286.30
  4. Step 4: Simplify right side
    307,583.90x = 44,885,549,355.86
  5. Step 5: Solve for x
    x = 44,885,549,355.86/307,583.90
  6. Step 6: Final answer
    x = 145,929.45

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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.