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Finding the Fourth Proportional to 354,613.60, 530,624.40 and 261,301.60

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Solution

The fourth proportional to 354,613.60, 530,624.40 and 261,301.60 is: 390,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,613.60 : 530,624.40 = 261,301.60 : x
  2. Step 2: Convert to fraction form
    354,613.60/530,624.40 = 261,301.60/x
  3. Step 3: Cross multiply
    354,613.60x = 530,624.40 × 261,301.60
  4. Step 4: Simplify right side
    354,613.60x = 138,653,004,719.04
  5. Step 5: Solve for x
    x = 138,653,004,719.04/354,613.60
  6. Step 6: Final answer
    x = 390,997.43

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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.