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Finding the Fourth Proportional to 497,815.80, 746,723.70 and 287,207.70

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Solution

The fourth proportional to 497,815.80, 746,723.70 and 287,207.70 is: 430,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,815.80 : 746,723.70 = 287,207.70 : x
  2. Step 2: Convert to fraction form
    497,815.80/746,723.70 = 287,207.70/x
  3. Step 3: Cross multiply
    497,815.80x = 746,723.70 × 287,207.70
  4. Step 4: Simplify right side
    497,815.80x = 214,464,796,412.49
  5. Step 5: Solve for x
    x = 214,464,796,412.49/497,815.80
  6. Step 6: Final answer
    x = 430,811.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.