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Finding the Fourth Proportional to 424,486.64, 585,807 and 233,514.56

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Solution

The fourth proportional to 424,486.64, 585,807 and 233,514.56 is: 322,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,486.64 : 585,807 = 233,514.56 : x
  2. Step 2: Convert to fraction form
    424,486.64/585,807 = 233,514.56/x
  3. Step 3: Cross multiply
    424,486.64x = 585,807 × 233,514.56
  4. Step 4: Simplify right side
    424,486.64x = 136,794,463,849.92
  5. Step 5: Solve for x
    x = 136,794,463,849.92/424,486.64
  6. Step 6: Final answer
    x = 322,258.58

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