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Finding the Fourth Proportional to 523,466.74, 783,650.07 and 323,143.01

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Solution

The fourth proportional to 523,466.74, 783,650.07 and 323,143.01 is: 483,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,466.74 : 783,650.07 = 323,143.01 : x
  2. Step 2: Convert to fraction form
    523,466.74/783,650.07 = 323,143.01/x
  3. Step 3: Cross multiply
    523,466.74x = 783,650.07 × 323,143.01
  4. Step 4: Simplify right side
    523,466.74x = 253,231,042,406.51
  5. Step 5: Solve for x
    x = 253,231,042,406.51/523,466.74
  6. Step 6: Final answer
    x = 483,757.65

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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.