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Finding the Fourth Proportional to 416,820.54, 575,234.73 and 235,540.11

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Solution

The fourth proportional to 416,820.54, 575,234.73 and 235,540.11 is: 325,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,820.54 : 575,234.73 = 235,540.11 : x
  2. Step 2: Convert to fraction form
    416,820.54/575,234.73 = 235,540.11/x
  3. Step 3: Cross multiply
    416,820.54x = 575,234.73 × 235,540.11
  4. Step 4: Simplify right side
    416,820.54x = 135,490,851,580.02
  5. Step 5: Solve for x
    x = 135,490,851,580.02/416,820.54
  6. Step 6: Final answer
    x = 325,058.00

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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.