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Finding the Fourth Proportional to 424,456.11, 585,746.37 and 233,465.40

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Solution

The fourth proportional to 424,456.11, 585,746.37 and 233,465.40 is: 322,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,456.11 : 585,746.37 = 233,465.40 : x
  2. Step 2: Convert to fraction form
    424,456.11/585,746.37 = 233,465.40/x
  3. Step 3: Cross multiply
    424,456.11x = 585,746.37 × 233,465.40
  4. Step 4: Simplify right side
    424,456.11x = 136,751,510,570.60
  5. Step 5: Solve for x
    x = 136,751,510,570.60/424,456.11
  6. Step 6: Final answer
    x = 322,180.57

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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.