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Finding the Fourth Proportional to 457,090.40, 684,080.40 and 401,103.20

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Solution

The fourth proportional to 457,090.40, 684,080.40 and 401,103.20 is: 600,290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,090.40 : 684,080.40 = 401,103.20 : x
  2. Step 2: Convert to fraction form
    457,090.40/684,080.40 = 401,103.20/x
  3. Step 3: Cross multiply
    457,090.40x = 684,080.40 × 401,103.20
  4. Step 4: Simplify right side
    457,090.40x = 274,386,837,497.28
  5. Step 5: Solve for x
    x = 274,386,837,497.28/457,090.40
  6. Step 6: Final answer
    x = 600,290.09

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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.