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Finding the Fourth Proportional to 601,569, 830,165.22 and 359,861.76

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Solution

The fourth proportional to 601,569, 830,165.22 and 359,861.76 is: 496,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,569 : 830,165.22 = 359,861.76 : x
  2. Step 2: Convert to fraction form
    601,569/830,165.22 = 359,861.76/x
  3. Step 3: Cross multiply
    601,569x = 830,165.22 × 359,861.76
  4. Step 4: Simplify right side
    601,569x = 298,744,717,159.99
  5. Step 5: Solve for x
    x = 298,744,717,159.99/601,569
  6. Step 6: Final answer
    x = 496,609.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.