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Finding the Fourth Proportional to 601,644.40, 830,049.60 and 359,933.92

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Solution

The fourth proportional to 601,644.40, 830,049.60 and 359,933.92 is: 496,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,644.40 : 830,049.60 = 359,933.92 : x
  2. Step 2: Convert to fraction form
    601,644.40/830,049.60 = 359,933.92/x
  3. Step 3: Cross multiply
    601,644.40x = 830,049.60 × 359,933.92
  4. Step 4: Simplify right side
    601,644.40x = 298,763,006,322.43
  5. Step 5: Solve for x
    x = 298,763,006,322.43/601,644.40
  6. Step 6: Final answer
    x = 496,577.39

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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.