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Finding the Fourth Proportional to 403,576.40, 605,364.60 and 226,429.40

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Solution

The fourth proportional to 403,576.40, 605,364.60 and 226,429.40 is: 339,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,576.40 : 605,364.60 = 226,429.40 : x
  2. Step 2: Convert to fraction form
    403,576.40/605,364.60 = 226,429.40/x
  3. Step 3: Cross multiply
    403,576.40x = 605,364.60 × 226,429.40
  4. Step 4: Simplify right side
    403,576.40x = 137,072,343,159.24
  5. Step 5: Solve for x
    x = 137,072,343,159.24/403,576.40
  6. Step 6: Final answer
    x = 339,644.10

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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.