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Finding the Fourth Proportional to 535,018.94, 802,295.09 and 202,361.66

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Solution

The fourth proportional to 535,018.94, 802,295.09 and 202,361.66 is: 303,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,018.94 : 802,295.09 = 202,361.66 : x
  2. Step 2: Convert to fraction form
    535,018.94/802,295.09 = 202,361.66/x
  3. Step 3: Cross multiply
    535,018.94x = 802,295.09 × 202,361.66
  4. Step 4: Simplify right side
    535,018.94x = 162,353,766,222.25
  5. Step 5: Solve for x
    x = 162,353,766,222.25/535,018.94
  6. Step 6: Final answer
    x = 303,454.24

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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.