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Finding the Fourth Proportional to 601,644.90, 830,050.29 and 359,934.42

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Solution

The fourth proportional to 601,644.90, 830,050.29 and 359,934.42 is: 496,578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,644.90 : 830,050.29 = 359,934.42 : x
  2. Step 2: Convert to fraction form
    601,644.90/830,050.29 = 359,934.42/x
  3. Step 3: Cross multiply
    601,644.90x = 830,050.29 × 359,934.42
  4. Step 4: Simplify right side
    601,644.90x = 298,763,669,701.98
  5. Step 5: Solve for x
    x = 298,763,669,701.98/601,644.90
  6. Step 6: Final answer
    x = 496,578.08

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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.