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Finding the Fourth Proportional to 297,699.51, 410,598.99 and 205,971.42

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Solution

The fourth proportional to 297,699.51, 410,598.99 and 205,971.42 is: 284,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,699.51 : 410,598.99 = 205,971.42 : x
  2. Step 2: Convert to fraction form
    297,699.51/410,598.99 = 205,971.42/x
  3. Step 3: Cross multiply
    297,699.51x = 410,598.99 × 205,971.42
  4. Step 4: Simplify right side
    297,699.51x = 84,571,657,020.87
  5. Step 5: Solve for x
    x = 84,571,657,020.87/297,699.51
  6. Step 6: Final answer
    x = 284,083.96

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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.