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Finding the Fourth Proportional to 413,489.28, 570,676.92 and 252,437.69

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Solution

The fourth proportional to 413,489.28, 570,676.92 and 252,437.69 is: 348,401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,489.28 : 570,676.92 = 252,437.69 : x
  2. Step 2: Convert to fraction form
    413,489.28/570,676.92 = 252,437.69/x
  3. Step 3: Cross multiply
    413,489.28x = 570,676.92 × 252,437.69
  4. Step 4: Simplify right side
    413,489.28x = 144,060,364,847.81
  5. Step 5: Solve for x
    x = 144,060,364,847.81/413,489.28
  6. Step 6: Final answer
    x = 348,401.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.