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Finding the Fourth Proportional to 291,603.94, 402,431.97 and 219,857.38

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Solution

The fourth proportional to 291,603.94, 402,431.97 and 219,857.38 is: 303,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,603.94 : 402,431.97 = 219,857.38 : x
  2. Step 2: Convert to fraction form
    291,603.94/402,431.97 = 219,857.38/x
  3. Step 3: Cross multiply
    291,603.94x = 402,431.97 × 219,857.38
  4. Step 4: Simplify right side
    291,603.94x = 88,477,638,552.44
  5. Step 5: Solve for x
    x = 88,477,638,552.44/291,603.94
  6. Step 6: Final answer
    x = 303,417.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.