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Finding the Fourth Proportional to 531,892.84, 734,014.50 and 290,174.68

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Solution

The fourth proportional to 531,892.84, 734,014.50 and 290,174.68 is: 400,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,892.84 : 734,014.50 = 290,174.68 : x
  2. Step 2: Convert to fraction form
    531,892.84/734,014.50 = 290,174.68/x
  3. Step 3: Cross multiply
    531,892.84x = 734,014.50 × 290,174.68
  4. Step 4: Simplify right side
    531,892.84x = 212,992,422,652.86
  5. Step 5: Solve for x
    x = 212,992,422,652.86/531,892.84
  6. Step 6: Final answer
    x = 400,442.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.