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Finding the Fourth Proportional to 497,348.34, 746,243.02 and 260,634.74

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Solution

The fourth proportional to 497,348.34, 746,243.02 and 260,634.74 is: 391,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,348.34 : 746,243.02 = 260,634.74 : x
  2. Step 2: Convert to fraction form
    497,348.34/746,243.02 = 260,634.74/x
  3. Step 3: Cross multiply
    497,348.34x = 746,243.02 × 260,634.74
  4. Step 4: Simplify right side
    497,348.34x = 194,496,855,494.52
  5. Step 5: Solve for x
    x = 194,496,855,494.52/497,348.34
  6. Step 6: Final answer
    x = 391,067.67

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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.