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Finding the Fourth Proportional to 413,699.67, 570,408.82 and 298,794.69

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Solution

The fourth proportional to 413,699.67, 570,408.82 and 298,794.69 is: 411,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,699.67 : 570,408.82 = 298,794.69 : x
  2. Step 2: Convert to fraction form
    413,699.67/570,408.82 = 298,794.69/x
  3. Step 3: Cross multiply
    413,699.67x = 570,408.82 × 298,794.69
  4. Step 4: Simplify right side
    413,699.67x = 170,435,125,798.18
  5. Step 5: Solve for x
    x = 170,435,125,798.18/413,699.67
  6. Step 6: Final answer
    x = 411,977.91

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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.