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Finding the Fourth Proportional to 461,133.40, 691,700.10 and 274,048.60

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Solution

The fourth proportional to 461,133.40, 691,700.10 and 274,048.60 is: 411,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,133.40 : 691,700.10 = 274,048.60 : x
  2. Step 2: Convert to fraction form
    461,133.40/691,700.10 = 274,048.60/x
  3. Step 3: Cross multiply
    461,133.40x = 691,700.10 × 274,048.60
  4. Step 4: Simplify right side
    461,133.40x = 189,559,444,024.86
  5. Step 5: Solve for x
    x = 189,559,444,024.86/461,133.40
  6. Step 6: Final answer
    x = 411,072.90

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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.