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Finding the Fourth Proportional to 347,493.94, 479,537.98 and 194,533.40

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Solution

The fourth proportional to 347,493.94, 479,537.98 and 194,533.40 is: 268,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,493.94 : 479,537.98 = 194,533.40 : x
  2. Step 2: Convert to fraction form
    347,493.94/479,537.98 = 194,533.40/x
  3. Step 3: Cross multiply
    347,493.94x = 479,537.98 × 194,533.40
  4. Step 4: Simplify right side
    347,493.94x = 93,286,153,678.53
  5. Step 5: Solve for x
    x = 93,286,153,678.53/347,493.94
  6. Step 6: Final answer
    x = 268,454.04

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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.