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Finding the Fourth Proportional to 296,759.34, 409,669.86 and 169,410.36

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Solution

The fourth proportional to 296,759.34, 409,669.86 and 169,410.36 is: 233,867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,759.34 : 409,669.86 = 169,410.36 : x
  2. Step 2: Convert to fraction form
    296,759.34/409,669.86 = 169,410.36/x
  3. Step 3: Cross multiply
    296,759.34x = 409,669.86 × 169,410.36
  4. Step 4: Simplify right side
    296,759.34x = 69,402,318,463.75
  5. Step 5: Solve for x
    x = 69,402,318,463.75/296,759.34
  6. Step 6: Final answer
    x = 233,867.34

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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.