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Finding the Fourth Proportional to 463,017.84, 694,742.88 and 163,725.12

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Solution

The fourth proportional to 463,017.84, 694,742.88 and 163,725.12 is: 245,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,017.84 : 694,742.88 = 163,725.12 : x
  2. Step 2: Convert to fraction form
    463,017.84/694,742.88 = 163,725.12/x
  3. Step 3: Cross multiply
    463,017.84x = 694,742.88 × 163,725.12
  4. Step 4: Simplify right side
    463,017.84x = 113,746,861,397.15
  5. Step 5: Solve for x
    x = 113,746,861,397.15/463,017.84
  6. Step 6: Final answer
    x = 245,664.10

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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.