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Finding the Fourth Proportional to 535,019.06, 802,295.28 and 202,361.78

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Solution

The fourth proportional to 535,019.06, 802,295.28 and 202,361.78 is: 303,454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,019.06 : 802,295.28 = 202,361.78 : x
  2. Step 2: Convert to fraction form
    535,019.06/802,295.28 = 202,361.78/x
  3. Step 3: Cross multiply
    535,019.06x = 802,295.28 × 202,361.78
  4. Step 4: Simplify right side
    535,019.06x = 162,353,896,934.92
  5. Step 5: Solve for x
    x = 162,353,896,934.92/535,019.06
  6. Step 6: Final answer
    x = 303,454.42

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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.