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Finding the Fourth Proportional to 377,644.06, 565,835.51 and 265,122.83

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Solution

The fourth proportional to 377,644.06, 565,835.51 and 265,122.83 is: 397,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,644.06 : 565,835.51 = 265,122.83 : x
  2. Step 2: Convert to fraction form
    377,644.06/565,835.51 = 265,122.83/x
  3. Step 3: Cross multiply
    377,644.06x = 565,835.51 × 265,122.83
  4. Step 4: Simplify right side
    377,644.06x = 150,015,908,985.49
  5. Step 5: Solve for x
    x = 150,015,908,985.49/377,644.06
  6. Step 6: Final answer
    x = 397,241.55

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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.