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Finding the Fourth Proportional to 378,041.16, 567,143.10 and 188,603.40

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Solution

The fourth proportional to 378,041.16, 567,143.10 and 188,603.40 is: 282,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,041.16 : 567,143.10 = 188,603.40 : x
  2. Step 2: Convert to fraction form
    378,041.16/567,143.10 = 188,603.40/x
  3. Step 3: Cross multiply
    378,041.16x = 567,143.10 × 188,603.40
  4. Step 4: Simplify right side
    378,041.16x = 106,965,116,946.54
  5. Step 5: Solve for x
    x = 106,965,116,946.54/378,041.16
  6. Step 6: Final answer
    x = 282,945.69

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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.