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Finding the Fourth Proportional to 461,130.14, 691,494.32 and 244,941.56

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Solution

The fourth proportional to 461,130.14, 691,494.32 and 244,941.56 is: 367,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,130.14 : 691,494.32 = 244,941.56 : x
  2. Step 2: Convert to fraction form
    461,130.14/691,494.32 = 244,941.56/x
  3. Step 3: Cross multiply
    461,130.14x = 691,494.32 × 244,941.56
  4. Step 4: Simplify right side
    461,130.14x = 169,375,696,875.48
  5. Step 5: Solve for x
    x = 169,375,696,875.48/461,130.14
  6. Step 6: Final answer
    x = 367,305.63

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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.