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Finding the Fourth Proportional to 590,889.63, 886,390.19 and 457,918.82

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Solution

The fourth proportional to 590,889.63, 886,390.19 and 457,918.82 is: 686,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,889.63 : 886,390.19 = 457,918.82 : x
  2. Step 2: Convert to fraction form
    590,889.63/886,390.19 = 457,918.82/x
  3. Step 3: Cross multiply
    590,889.63x = 886,390.19 × 457,918.82
  4. Step 4: Simplify right side
    590,889.63x = 405,894,748,183.99
  5. Step 5: Solve for x
    x = 405,894,748,183.99/590,889.63
  6. Step 6: Final answer
    x = 686,921.42

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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.