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Finding the Fourth Proportional to 260,464.56, 390,697.32 and 94,213.68

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Solution

The fourth proportional to 260,464.56, 390,697.32 and 94,213.68 is: 141,320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,464.56 : 390,697.32 = 94,213.68 : x
  2. Step 2: Convert to fraction form
    260,464.56/390,697.32 = 94,213.68/x
  3. Step 3: Cross multiply
    260,464.56x = 390,697.32 × 94,213.68
  4. Step 4: Simplify right side
    260,464.56x = 36,809,032,283.34
  5. Step 5: Solve for x
    x = 36,809,032,283.34/260,464.56
  6. Step 6: Final answer
    x = 141,320.69

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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.