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Finding the Fourth Proportional to 522,333.99, 783,570.69 and 206,717.10

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Solution

The fourth proportional to 522,333.99, 783,570.69 and 206,717.10 is: 310,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,333.99 : 783,570.69 = 206,717.10 : x
  2. Step 2: Convert to fraction form
    522,333.99/783,570.69 = 206,717.10/x
  3. Step 3: Cross multiply
    522,333.99x = 783,570.69 × 206,717.10
  4. Step 4: Simplify right side
    522,333.99x = 161,977,460,681.80
  5. Step 5: Solve for x
    x = 161,977,460,681.80/522,333.99
  6. Step 6: Final answer
    x = 310,103.24

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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.