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Finding the Fourth Proportional to 403,782.80, 604,945.20 and 235,165.10

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Solution

The fourth proportional to 403,782.80, 604,945.20 and 235,165.10 is: 352,323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,782.80 : 604,945.20 = 235,165.10 : x
  2. Step 2: Convert to fraction form
    403,782.80/604,945.20 = 235,165.10/x
  3. Step 3: Cross multiply
    403,782.80x = 604,945.20 × 235,165.10
  4. Step 4: Simplify right side
    403,782.80x = 142,261,998,452.52
  5. Step 5: Solve for x
    x = 142,261,998,452.52/403,782.80
  6. Step 6: Final answer
    x = 352,323.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.