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Finding the Fourth Proportional to 492,024.85, 738,037.28 and 492,024.85

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Solution

The fourth proportional to 492,024.85, 738,037.28 and 492,024.85 is: 738,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,024.85 : 738,037.28 = 492,024.85 : x
  2. Step 2: Convert to fraction form
    492,024.85/738,037.28 = 492,024.85/x
  3. Step 3: Cross multiply
    492,024.85x = 738,037.28 × 492,024.85
  4. Step 4: Simplify right side
    492,024.85x = 363,132,681,986.41
  5. Step 5: Solve for x
    x = 363,132,681,986.41/492,024.85
  6. Step 6: Final answer
    x = 738,037.28

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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.