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Finding the Fourth Proportional to 507,294.36, 698,939.01 and 334,905.30

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Solution

The fourth proportional to 507,294.36, 698,939.01 and 334,905.30 is: 461,425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,294.36 : 698,939.01 = 334,905.30 : x
  2. Step 2: Convert to fraction form
    507,294.36/698,939.01 = 334,905.30/x
  3. Step 3: Cross multiply
    507,294.36x = 698,939.01 × 334,905.30
  4. Step 4: Simplify right side
    507,294.36x = 234,078,378,825.75
  5. Step 5: Solve for x
    x = 234,078,378,825.75/507,294.36
  6. Step 6: Final answer
    x = 461,425.16

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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.