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Finding the Fourth Proportional to 403,642.40, 604,297.20 and 246,178.40

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Solution

The fourth proportional to 403,642.40, 604,297.20 and 246,178.40 is: 368,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,642.40 : 604,297.20 = 246,178.40 : x
  2. Step 2: Convert to fraction form
    403,642.40/604,297.20 = 246,178.40/x
  3. Step 3: Cross multiply
    403,642.40x = 604,297.20 × 246,178.40
  4. Step 4: Simplify right side
    403,642.40x = 148,764,917,820.48
  5. Step 5: Solve for x
    x = 148,764,917,820.48/403,642.40
  6. Step 6: Final answer
    x = 368,556.22

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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.