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Finding the Fourth Proportional to 424,505.12, 585,826.17 and 233,518.50

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Solution

The fourth proportional to 424,505.12, 585,826.17 and 233,518.50 is: 322,260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,505.12 : 585,826.17 = 233,518.50 : x
  2. Step 2: Convert to fraction form
    424,505.12/585,826.17 = 233,518.50/x
  3. Step 3: Cross multiply
    424,505.12x = 585,826.17 × 233,518.50
  4. Step 4: Simplify right side
    424,505.12x = 136,801,248,479.15
  5. Step 5: Solve for x
    x = 136,801,248,479.15/424,505.12
  6. Step 6: Final answer
    x = 322,260.54

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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.