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Finding the Fourth Proportional to 272,877.30, 409,315.95 and 202,893.30

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Solution

The fourth proportional to 272,877.30, 409,315.95 and 202,893.30 is: 304,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,877.30 : 409,315.95 = 202,893.30 : x
  2. Step 2: Convert to fraction form
    272,877.30/409,315.95 = 202,893.30/x
  3. Step 3: Cross multiply
    272,877.30x = 409,315.95 × 202,893.30
  4. Step 4: Simplify right side
    272,877.30x = 83,047,463,838.14
  5. Step 5: Solve for x
    x = 83,047,463,838.14/272,877.30
  6. Step 6: Final answer
    x = 304,339.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.