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Finding the Fourth Proportional to 497,706.40, 746,562.30 and 123,729.40

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Solution

The fourth proportional to 497,706.40, 746,562.30 and 123,729.40 is: 185,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,706.40 : 746,562.30 = 123,729.40 : x
  2. Step 2: Convert to fraction form
    497,706.40/746,562.30 = 123,729.40/x
  3. Step 3: Cross multiply
    497,706.40x = 746,562.30 × 123,729.40
  4. Step 4: Simplify right side
    497,706.40x = 92,371,705,441.62
  5. Step 5: Solve for x
    x = 92,371,705,441.62/497,706.40
  6. Step 6: Final answer
    x = 185,594.77

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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.