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Finding the Fourth Proportional to 296,596.14, 409,331.89 and 169,290.87

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Solution

The fourth proportional to 296,596.14, 409,331.89 and 169,290.87 is: 233,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,596.14 : 409,331.89 = 169,290.87 : x
  2. Step 2: Convert to fraction form
    296,596.14/409,331.89 = 169,290.87/x
  3. Step 3: Cross multiply
    296,596.14x = 409,331.89 × 169,290.87
  4. Step 4: Simplify right side
    296,596.14x = 69,296,151,776.84
  5. Step 5: Solve for x
    x = 69,296,151,776.84/296,596.14
  6. Step 6: Final answer
    x = 233,638.08

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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.