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Finding the Fourth Proportional to 719,824.38, 993,357.64 and 418,037.82

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Solution

The fourth proportional to 719,824.38, 993,357.64 and 418,037.82 is: 576,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,824.38 : 993,357.64 = 418,037.82 : x
  2. Step 2: Convert to fraction form
    719,824.38/993,357.64 = 418,037.82/x
  3. Step 3: Cross multiply
    719,824.38x = 993,357.64 × 418,037.82
  4. Step 4: Simplify right side
    719,824.38x = 415,261,057,339.16
  5. Step 5: Solve for x
    x = 415,261,057,339.16/719,824.38
  6. Step 6: Final answer
    x = 576,892.19

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Why These Related Problems?

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