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Finding the Fourth Proportional to 457,860.60, 684,846.90 and 410,815.80

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Solution

The fourth proportional to 457,860.60, 684,846.90 and 410,815.80 is: 614,479.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,860.60 : 684,846.90 = 410,815.80 : x
  2. Step 2: Convert to fraction form
    457,860.60/684,846.90 = 410,815.80/x
  3. Step 3: Cross multiply
    457,860.60x = 684,846.90 × 410,815.80
  4. Step 4: Simplify right side
    457,860.60x = 281,345,927,101.02
  5. Step 5: Solve for x
    x = 281,345,927,101.02/457,860.60
  6. Step 6: Final answer
    x = 614,479.44

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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.