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Finding the Fourth Proportional to 535,374.90, 801,991.64 and 322,025

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Solution

The fourth proportional to 535,374.90, 801,991.64 and 322,025 is: 482,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,374.90 : 801,991.64 = 322,025 : x
  2. Step 2: Convert to fraction form
    535,374.90/801,991.64 = 322,025/x
  3. Step 3: Cross multiply
    535,374.90x = 801,991.64 × 322,025
  4. Step 4: Simplify right side
    535,374.90x = 258,261,357,871
  5. Step 5: Solve for x
    x = 258,261,357,871/535,374.90
  6. Step 6: Final answer
    x = 482,393.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.