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Finding the Fourth Proportional to 411,036.09, 616,554.43 and 111,516.64

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Solution

The fourth proportional to 411,036.09, 616,554.43 and 111,516.64 is: 167,275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,036.09 : 616,554.43 = 111,516.64 : x
  2. Step 2: Convert to fraction form
    411,036.09/616,554.43 = 111,516.64/x
  3. Step 3: Cross multiply
    411,036.09x = 616,554.43 × 111,516.64
  4. Step 4: Simplify right side
    411,036.09x = 68,756,081,552.97
  5. Step 5: Solve for x
    x = 68,756,081,552.97/411,036.09
  6. Step 6: Final answer
    x = 167,275.05

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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.