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Finding the Fourth Proportional to 400,892.45, 601,449.40 and 356,827.13

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Solution

The fourth proportional to 400,892.45, 601,449.40 and 356,827.13 is: 535,339.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,892.45 : 601,449.40 = 356,827.13 : x
  2. Step 2: Convert to fraction form
    400,892.45/601,449.40 = 356,827.13/x
  3. Step 3: Cross multiply
    400,892.45x = 601,449.40 × 356,827.13
  4. Step 4: Simplify right side
    400,892.45x = 214,613,463,242.22
  5. Step 5: Solve for x
    x = 214,613,463,242.22/400,892.45
  6. Step 6: Final answer
    x = 535,339.25

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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.