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Finding the Fourth Proportional to 378,005.06, 566,993.34 and 93,696.38

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Solution

The fourth proportional to 378,005.06, 566,993.34 and 93,696.38 is: 140,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,005.06 : 566,993.34 = 93,696.38 : x
  2. Step 2: Convert to fraction form
    378,005.06/566,993.34 = 93,696.38/x
  3. Step 3: Cross multiply
    378,005.06x = 566,993.34 × 93,696.38
  4. Step 4: Simplify right side
    378,005.06x = 53,125,223,442.11
  5. Step 5: Solve for x
    x = 53,125,223,442.11/378,005.06
  6. Step 6: Final answer
    x = 140,541.04

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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.