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Finding the Fourth Proportional to 416,032.08, 574,124.38 and 234,782.42

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Solution

The fourth proportional to 416,032.08, 574,124.38 and 234,782.42 is: 323,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,032.08 : 574,124.38 = 234,782.42 : x
  2. Step 2: Convert to fraction form
    416,032.08/574,124.38 = 234,782.42/x
  3. Step 3: Cross multiply
    416,032.08x = 574,124.38 × 234,782.42
  4. Step 4: Simplify right side
    416,032.08x = 134,794,311,317.40
  5. Step 5: Solve for x
    x = 134,794,311,317.40/416,032.08
  6. Step 6: Final answer
    x = 323,999.80

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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.