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Finding the Fourth Proportional to 536,892.30, 740,911.84 and 295,178.98

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Solution

The fourth proportional to 536,892.30, 740,911.84 and 295,178.98 is: 407,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,892.30 : 740,911.84 = 295,178.98 : x
  2. Step 2: Convert to fraction form
    536,892.30/740,911.84 = 295,178.98/x
  3. Step 3: Cross multiply
    536,892.30x = 740,911.84 × 295,178.98
  4. Step 4: Simplify right side
    536,892.30x = 218,701,601,201.12
  5. Step 5: Solve for x
    x = 218,701,601,201.12/536,892.30
  6. Step 6: Final answer
    x = 407,347.25

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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.