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Finding the Fourth Proportional to 369,535.98, 509,961.06 and 206,199.38

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Solution

The fourth proportional to 369,535.98, 509,961.06 and 206,199.38 is: 284,555.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,535.98 : 509,961.06 = 206,199.38 : x
  2. Step 2: Convert to fraction form
    369,535.98/509,961.06 = 206,199.38/x
  3. Step 3: Cross multiply
    369,535.98x = 509,961.06 × 206,199.38
  4. Step 4: Simplify right side
    369,535.98x = 105,153,654,396.14
  5. Step 5: Solve for x
    x = 105,153,654,396.14/369,535.98
  6. Step 6: Final answer
    x = 284,555.93

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1.5x scale

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.