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Finding the Fourth Proportional to 230,988, 346,482 and 55,884

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Solution

The fourth proportional to 230,988, 346,482 and 55,884 is: 83,826

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,988 : 346,482 = 55,884 : x
  2. Step 2: Convert to fraction form
    230,988/346,482 = 55,884/x
  3. Step 3: Cross multiply
    230,988x = 346,482 × 55,884
  4. Step 4: Simplify right side
    230,988x = 19,362,800,088
  5. Step 5: Solve for x
    x = 19,362,800,088/230,988
  6. Step 6: Final answer
    x = 83,826

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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.