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Finding the Fourth Proportional to 501,076.46, 691,513.80 and 297,248.06

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Solution

The fourth proportional to 501,076.46, 691,513.80 and 297,248.06 is: 410,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,076.46 : 691,513.80 = 297,248.06 : x
  2. Step 2: Convert to fraction form
    501,076.46/691,513.80 = 297,248.06/x
  3. Step 3: Cross multiply
    501,076.46x = 691,513.80 × 297,248.06
  4. Step 4: Simplify right side
    501,076.46x = 205,551,135,513.23
  5. Step 5: Solve for x
    x = 205,551,135,513.23/501,076.46
  6. Step 6: Final answer
    x = 410,219.10

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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.