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Finding the Fourth Proportional to 230,820, 346,230 and 55,716

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Solution

The fourth proportional to 230,820, 346,230 and 55,716 is: 83,574

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,820 : 346,230 = 55,716 : x
  2. Step 2: Convert to fraction form
    230,820/346,230 = 55,716/x
  3. Step 3: Cross multiply
    230,820x = 346,230 × 55,716
  4. Step 4: Simplify right side
    230,820x = 19,290,550,680
  5. Step 5: Solve for x
    x = 19,290,550,680/230,820
  6. Step 6: Final answer
    x = 83,574

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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.