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Finding the Fourth Proportional to 349,123.64, 523,674.77 and 96,419.43

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Solution

The fourth proportional to 349,123.64, 523,674.77 and 96,419.43 is: 144,626.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,123.64 : 523,674.77 = 96,419.43 : x
  2. Step 2: Convert to fraction form
    349,123.64/523,674.77 = 96,419.43/x
  3. Step 3: Cross multiply
    349,123.64x = 523,674.77 × 96,419.43
  4. Step 4: Simplify right side
    349,123.64x = 50,492,422,346.68
  5. Step 5: Solve for x
    x = 50,492,422,346.68/349,123.64
  6. Step 6: Final answer
    x = 144,626.19

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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.