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Finding the Fourth Proportional to 584,160.84, 806,166.46 and 329,511.96

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Solution

The fourth proportional to 584,160.84, 806,166.46 and 329,511.96 is: 454,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,160.84 : 806,166.46 = 329,511.96 : x
  2. Step 2: Convert to fraction form
    584,160.84/806,166.46 = 329,511.96/x
  3. Step 3: Cross multiply
    584,160.84x = 806,166.46 × 329,511.96
  4. Step 4: Simplify right side
    584,160.84x = 265,641,486,290.03
  5. Step 5: Solve for x
    x = 265,641,486,290.03/584,160.84
  6. Step 6: Final answer
    x = 454,740.32

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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.