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Finding the Fourth Proportional to 843,843.87, 1,164,505.95 and 461,894.85

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Solution

The fourth proportional to 843,843.87, 1,164,505.95 and 461,894.85 is: 637,415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,843.87 : 1,164,505.95 = 461,894.85 : x
  2. Step 2: Convert to fraction form
    843,843.87/1,164,505.95 = 461,894.85/x
  3. Step 3: Cross multiply
    843,843.87x = 1,164,505.95 × 461,894.85
  4. Step 4: Simplify right side
    843,843.87x = 537,879,301,099.36
  5. Step 5: Solve for x
    x = 537,879,301,099.36/843,843.87
  6. Step 6: Final answer
    x = 637,415.66

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