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Finding the Fourth Proportional to 411,041.66, 616,506.87 and 111,541.46

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Solution

The fourth proportional to 411,041.66, 616,506.87 and 111,541.46 is: 167,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,041.66 : 616,506.87 = 111,541.46 : x
  2. Step 2: Convert to fraction form
    411,041.66/616,506.87 = 111,541.46/x
  3. Step 3: Cross multiply
    411,041.66x = 616,506.87 × 111,541.46
  4. Step 4: Simplify right side
    411,041.66x = 68,766,076,379.83
  5. Step 5: Solve for x
    x = 68,766,076,379.83/411,041.66
  6. Step 6: Final answer
    x = 167,297.10

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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.