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Finding the Fourth Proportional to 497,299.60, 746,599.83 and 295,264.54

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Solution

The fourth proportional to 497,299.60, 746,599.83 and 295,264.54 is: 443,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,299.60 : 746,599.83 = 295,264.54 : x
  2. Step 2: Convert to fraction form
    497,299.60/746,599.83 = 295,264.54/x
  3. Step 3: Cross multiply
    497,299.60x = 746,599.83 × 295,264.54
  4. Step 4: Simplify right side
    497,299.60x = 220,444,455,369.03
  5. Step 5: Solve for x
    x = 220,444,455,369.03/497,299.60
  6. Step 6: Final answer
    x = 443,282.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.