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Finding the Fourth Proportional to 497,804.19, 746,706.68 and 213,310.25

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Solution

The fourth proportional to 497,804.19, 746,706.68 and 213,310.25 is: 319,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,804.19 : 746,706.68 = 213,310.25 : x
  2. Step 2: Convert to fraction form
    497,804.19/746,706.68 = 213,310.25/x
  3. Step 3: Cross multiply
    497,804.19x = 746,706.68 × 213,310.25
  4. Step 4: Simplify right side
    497,804.19x = 159,280,188,587.47
  5. Step 5: Solve for x
    x = 159,280,188,587.47/497,804.19
  6. Step 6: Final answer
    x = 319,965.54

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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.