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Finding the Fourth Proportional to 499,326, 689,072.31 and 272,971.50

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Solution

The fourth proportional to 499,326, 689,072.31 and 272,971.50 is: 376,702.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,326 : 689,072.31 = 272,971.50 : x
  2. Step 2: Convert to fraction form
    499,326/689,072.31 = 272,971.50/x
  3. Step 3: Cross multiply
    499,326x = 689,072.31 × 272,971.50
  4. Step 4: Simplify right side
    499,326x = 188,097,102,069.17
  5. Step 5: Solve for x
    x = 188,097,102,069.17/499,326
  6. Step 6: Final answer
    x = 376,702.00

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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.