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Finding the Fourth Proportional to 497,516.40, 746,582.40 and 261,028.80

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Solution

The fourth proportional to 497,516.40, 746,582.40 and 261,028.80 is: 391,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,516.40 : 746,582.40 = 261,028.80 : x
  2. Step 2: Convert to fraction form
    497,516.40/746,582.40 = 261,028.80/x
  3. Step 3: Cross multiply
    497,516.40x = 746,582.40 × 261,028.80
  4. Step 4: Simplify right side
    497,516.40x = 194,879,507,973.12
  5. Step 5: Solve for x
    x = 194,879,507,973.12/497,516.40
  6. Step 6: Final answer
    x = 391,704.69

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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.