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Finding the Fourth Proportional to 417,676.10, 625,127.83 and 380,322.14

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Solution

The fourth proportional to 417,676.10, 625,127.83 and 380,322.14 is: 569,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,676.10 : 625,127.83 = 380,322.14 : x
  2. Step 2: Convert to fraction form
    417,676.10/625,127.83 = 380,322.14/x
  3. Step 3: Cross multiply
    417,676.10x = 625,127.83 × 380,322.14
  4. Step 4: Simplify right side
    417,676.10x = 237,749,950,002.71
  5. Step 5: Solve for x
    x = 237,749,950,002.71/417,676.10
  6. Step 6: Final answer
    x = 569,220.87

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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.