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Finding the Fourth Proportional to 497,238.67, 746,079.27 and 260,525.98

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Solution

The fourth proportional to 497,238.67, 746,079.27 and 260,525.98 is: 390,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,238.67 : 746,079.27 = 260,525.98 : x
  2. Step 2: Convert to fraction form
    497,238.67/746,079.27 = 260,525.98/x
  3. Step 3: Cross multiply
    497,238.67x = 746,079.27 × 260,525.98
  4. Step 4: Simplify right side
    497,238.67x = 194,373,032,974.44
  5. Step 5: Solve for x
    x = 194,373,032,974.44/497,238.67
  6. Step 6: Final answer
    x = 390,904.90

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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.