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Finding the Fourth Proportional to 601,408.84, 829,933.14 and 346,770.76

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Solution

The fourth proportional to 601,408.84, 829,933.14 and 346,770.76 is: 478,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,408.84 : 829,933.14 = 346,770.76 : x
  2. Step 2: Convert to fraction form
    601,408.84/829,933.14 = 346,770.76/x
  3. Step 3: Cross multiply
    601,408.84x = 829,933.14 × 346,770.76
  4. Step 4: Simplify right side
    601,408.84x = 287,796,545,706.99
  5. Step 5: Solve for x
    x = 287,796,545,706.99/601,408.84
  6. Step 6: Final answer
    x = 478,537.27

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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.