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Finding the Fourth Proportional to 263,031.84, 394,510.50 and 85,541.40

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Solution

The fourth proportional to 263,031.84, 394,510.50 and 85,541.40 is: 128,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,031.84 : 394,510.50 = 85,541.40 : x
  2. Step 2: Convert to fraction form
    263,031.84/394,510.50 = 85,541.40/x
  3. Step 3: Cross multiply
    263,031.84x = 394,510.50 × 85,541.40
  4. Step 4: Simplify right side
    263,031.84x = 33,746,980,484.70
  5. Step 5: Solve for x
    x = 33,746,980,484.70/263,031.84
  6. Step 6: Final answer
    x = 128,299.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.