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Finding the Fourth Proportional to 601,164.99, 829,744.16 and 374,766.75

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Solution

The fourth proportional to 601,164.99, 829,744.16 and 374,766.75 is: 517,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,164.99 : 829,744.16 = 374,766.75 : x
  2. Step 2: Convert to fraction form
    601,164.99/829,744.16 = 374,766.75/x
  3. Step 3: Cross multiply
    601,164.99x = 829,744.16 × 374,766.75
  4. Step 4: Simplify right side
    601,164.99x = 310,960,520,300.85
  5. Step 5: Solve for x
    x = 310,960,520,300.85/601,164.99
  6. Step 6: Final answer
    x = 517,263.19

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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.