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Finding the Fourth Proportional to 357,219, 492,877.37 and 202,172.28

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Solution

The fourth proportional to 357,219, 492,877.37 and 202,172.28 is: 278,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,219 : 492,877.37 = 202,172.28 : x
  2. Step 2: Convert to fraction form
    357,219/492,877.37 = 202,172.28/x
  3. Step 3: Cross multiply
    357,219x = 492,877.37 × 202,172.28
  4. Step 4: Simplify right side
    357,219x = 99,646,141,653.30
  5. Step 5: Solve for x
    x = 99,646,141,653.30/357,219
  6. Step 6: Final answer
    x = 278,949.72

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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.