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Finding the Fourth Proportional to 759,202.62, 1,047,658.50 and 419,649

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Solution

The fourth proportional to 759,202.62, 1,047,658.50 and 419,649 is: 579,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,202.62 : 1,047,658.50 = 419,649 : x
  2. Step 2: Convert to fraction form
    759,202.62/1,047,658.50 = 419,649/x
  3. Step 3: Cross multiply
    759,202.62x = 1,047,658.50 × 419,649
  4. Step 4: Simplify right side
    759,202.62x = 439,648,841,866.50
  5. Step 5: Solve for x
    x = 439,648,841,866.50/759,202.62
  6. Step 6: Final answer
    x = 579,092.89

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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.