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Finding the Fourth Proportional to 497,648.40, 746,472.60 and 123,671.40

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Solution

The fourth proportional to 497,648.40, 746,472.60 and 123,671.40 is: 185,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,648.40 : 746,472.60 = 123,671.40 : x
  2. Step 2: Convert to fraction form
    497,648.40/746,472.60 = 123,671.40/x
  3. Step 3: Cross multiply
    497,648.40x = 746,472.60 × 123,671.40
  4. Step 4: Simplify right side
    497,648.40x = 92,317,311,503.64
  5. Step 5: Solve for x
    x = 92,317,311,503.64/497,648.40
  6. Step 6: Final answer
    x = 185,507.10

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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.