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Finding the Fourth Proportional to 664,653.17, 997,305.07 and 411,866.04

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Solution

The fourth proportional to 664,653.17, 997,305.07 and 411,866.04 is: 618,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,653.17 : 997,305.07 = 411,866.04 : x
  2. Step 2: Convert to fraction form
    664,653.17/997,305.07 = 411,866.04/x
  3. Step 3: Cross multiply
    664,653.17x = 997,305.07 × 411,866.04
  4. Step 4: Simplify right side
    664,653.17x = 410,756,089,852.82
  5. Step 5: Solve for x
    x = 410,756,089,852.82/664,653.17
  6. Step 6: Final answer
    x = 618,000.65

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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.