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Finding the Fourth Proportional to 494,681.80, 742,022.70 and 120,704.80

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Solution

The fourth proportional to 494,681.80, 742,022.70 and 120,704.80 is: 181,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,681.80 : 742,022.70 = 120,704.80 : x
  2. Step 2: Convert to fraction form
    494,681.80/742,022.70 = 120,704.80/x
  3. Step 3: Cross multiply
    494,681.80x = 742,022.70 × 120,704.80
  4. Step 4: Simplify right side
    494,681.80x = 89,565,701,598.96
  5. Step 5: Solve for x
    x = 89,565,701,598.96/494,681.80
  6. Step 6: Final answer
    x = 181,057.20

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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.