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Finding the Fourth Proportional to 601,410.42, 829,631.46 and 371,894.49

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Solution

The fourth proportional to 601,410.42, 829,631.46 and 371,894.49 is: 513,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,410.42 : 829,631.46 = 371,894.49 : x
  2. Step 2: Convert to fraction form
    601,410.42/829,631.46 = 371,894.49/x
  3. Step 3: Cross multiply
    601,410.42x = 829,631.46 × 371,894.49
  4. Step 4: Simplify right side
    601,410.42x = 308,535,370,099.26
  5. Step 5: Solve for x
    x = 308,535,370,099.26/601,410.42
  6. Step 6: Final answer
    x = 513,019.66

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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.