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Finding the Fourth Proportional to 355,829.94, 490,977.09 and 202,865.22

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Solution

The fourth proportional to 355,829.94, 490,977.09 and 202,865.22 is: 279,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,829.94 : 490,977.09 = 202,865.22 : x
  2. Step 2: Convert to fraction form
    355,829.94/490,977.09 = 202,865.22/x
  3. Step 3: Cross multiply
    355,829.94x = 490,977.09 × 202,865.22
  4. Step 4: Simplify right side
    355,829.94x = 99,602,175,377.81
  5. Step 5: Solve for x
    x = 99,602,175,377.81/355,829.94
  6. Step 6: Final answer
    x = 279,915.11

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