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Finding the Fourth Proportional to 424,534.70, 585,832.10 and 230,941.01

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Solution

The fourth proportional to 424,534.70, 585,832.10 and 230,941.01 is: 318,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,534.70 : 585,832.10 = 230,941.01 : x
  2. Step 2: Convert to fraction form
    424,534.70/585,832.10 = 230,941.01/x
  3. Step 3: Cross multiply
    424,534.70x = 585,832.10 × 230,941.01
  4. Step 4: Simplify right side
    424,534.70x = 135,292,652,780.56
  5. Step 5: Solve for x
    x = 135,292,652,780.56/424,534.70
  6. Step 6: Final answer
    x = 318,684.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.