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Finding the Fourth Proportional to 461,127.12, 691,762.20 and 194,888.76

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Solution

The fourth proportional to 461,127.12, 691,762.20 and 194,888.76 is: 292,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,127.12 : 691,762.20 = 194,888.76 : x
  2. Step 2: Convert to fraction form
    461,127.12/691,762.20 = 194,888.76/x
  3. Step 3: Cross multiply
    461,127.12x = 691,762.20 × 194,888.76
  4. Step 4: Simplify right side
    461,127.12x = 134,816,677,372.87
  5. Step 5: Solve for x
    x = 134,816,677,372.87/461,127.12
  6. Step 6: Final answer
    x = 292,363.37

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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.