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Finding the Fourth Proportional to 290,562.36, 400,954.50 and 163,259.16

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Solution

The fourth proportional to 290,562.36, 400,954.50 and 163,259.16 is: 225,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,562.36 : 400,954.50 = 163,259.16 : x
  2. Step 2: Convert to fraction form
    290,562.36/400,954.50 = 163,259.16/x
  3. Step 3: Cross multiply
    290,562.36x = 400,954.50 × 163,259.16
  4. Step 4: Simplify right side
    290,562.36x = 65,459,494,868.22
  5. Step 5: Solve for x
    x = 65,459,494,868.22/290,562.36
  6. Step 6: Final answer
    x = 225,285.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.