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Finding the Fourth Proportional to 297,670.21, 410,783.06 and 161,703.07

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Solution

The fourth proportional to 297,670.21, 410,783.06 and 161,703.07 is: 223,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,670.21 : 410,783.06 = 161,703.07 : x
  2. Step 2: Convert to fraction form
    297,670.21/410,783.06 = 161,703.07/x
  3. Step 3: Cross multiply
    297,670.21x = 410,783.06 × 161,703.07
  4. Step 4: Simplify right side
    297,670.21x = 66,424,881,283.29
  5. Step 5: Solve for x
    x = 66,424,881,283.29/297,670.21
  6. Step 6: Final answer
    x = 223,149.24

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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.