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Finding the Fourth Proportional to 589,099.57, 812,907.47 and 330,956.27

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Solution

The fourth proportional to 589,099.57, 812,907.47 and 330,956.27 is: 456,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,099.57 : 812,907.47 = 330,956.27 : x
  2. Step 2: Convert to fraction form
    589,099.57/812,907.47 = 330,956.27/x
  3. Step 3: Cross multiply
    589,099.57x = 812,907.47 × 330,956.27
  4. Step 4: Simplify right side
    589,099.57x = 269,036,823,937.59
  5. Step 5: Solve for x
    x = 269,036,823,937.59/589,099.57
  6. Step 6: Final answer
    x = 456,691.60

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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.