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Finding the Fourth Proportional to 294,241.80, 440,783.74 and 194,096.02

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Solution

The fourth proportional to 294,241.80, 440,783.74 and 194,096.02 is: 290,762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,241.80 : 440,783.74 = 194,096.02 : x
  2. Step 2: Convert to fraction form
    294,241.80/440,783.74 = 194,096.02/x
  3. Step 3: Cross multiply
    294,241.80x = 440,783.74 × 194,096.02
  4. Step 4: Simplify right side
    294,241.80x = 85,554,369,614.71
  5. Step 5: Solve for x
    x = 85,554,369,614.71/294,241.80
  6. Step 6: Final answer
    x = 290,762.12

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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.