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Finding the Fourth Proportional to 296,689.76, 409,434.72 and 169,364.96

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Solution

The fourth proportional to 296,689.76, 409,434.72 and 169,364.96 is: 233,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,689.76 : 409,434.72 = 169,364.96 : x
  2. Step 2: Convert to fraction form
    296,689.76/409,434.72 = 169,364.96/x
  3. Step 3: Cross multiply
    296,689.76x = 409,434.72 × 169,364.96
  4. Step 4: Simplify right side
    296,689.76x = 69,343,894,975.41
  5. Step 5: Solve for x
    x = 69,343,894,975.41/296,689.76
  6. Step 6: Final answer
    x = 233,725.27

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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.