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Finding the Fourth Proportional to 400,894.45, 601,452.41 and 356,829.14

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Solution

The fourth proportional to 400,894.45, 601,452.41 and 356,829.14 is: 535,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,894.45 : 601,452.41 = 356,829.14 : x
  2. Step 2: Convert to fraction form
    400,894.45/601,452.41 = 356,829.14/x
  3. Step 3: Cross multiply
    400,894.45x = 601,452.41 × 356,829.14
  4. Step 4: Simplify right side
    400,894.45x = 214,615,745,930.71
  5. Step 5: Solve for x
    x = 214,615,745,930.71/400,894.45
  6. Step 6: Final answer
    x = 535,342.28

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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.