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Finding the Fourth Proportional to 329,065.46, 454,113.36 and 193,101.69

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Solution

The fourth proportional to 329,065.46, 454,113.36 and 193,101.69 is: 266,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,065.46 : 454,113.36 = 193,101.69 : x
  2. Step 2: Convert to fraction form
    329,065.46/454,113.36 = 193,101.69/x
  3. Step 3: Cross multiply
    329,065.46x = 454,113.36 × 193,101.69
  4. Step 4: Simplify right side
    329,065.46x = 87,690,057,267.58
  5. Step 5: Solve for x
    x = 87,690,057,267.58/329,065.46
  6. Step 6: Final answer
    x = 266,482.11

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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.