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Finding the Fourth Proportional to 296,554.32, 409,274.40 and 169,249.20

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Solution

The fourth proportional to 296,554.32, 409,274.40 and 169,249.20 is: 233,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,554.32 : 409,274.40 = 169,249.20 : x
  2. Step 2: Convert to fraction form
    296,554.32/409,274.40 = 169,249.20/x
  3. Step 3: Cross multiply
    296,554.32x = 409,274.40 × 169,249.20
  4. Step 4: Simplify right side
    296,554.32x = 69,269,364,780.48
  5. Step 5: Solve for x
    x = 69,269,364,780.48/296,554.32
  6. Step 6: Final answer
    x = 233,580.70

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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.