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Finding the Fourth Proportional to 424,402.13, 585,917.15 and 281,355.93

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Solution

The fourth proportional to 424,402.13, 585,917.15 and 281,355.93 is: 388,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,402.13 : 585,917.15 = 281,355.93 : x
  2. Step 2: Convert to fraction form
    424,402.13/585,917.15 = 281,355.93/x
  3. Step 3: Cross multiply
    424,402.13x = 585,917.15 × 281,355.93
  4. Step 4: Simplify right side
    424,402.13x = 164,851,263,234.42
  5. Step 5: Solve for x
    x = 164,851,263,234.42/424,402.13
  6. Step 6: Final answer
    x = 388,431.75

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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.