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Finding the Fourth Proportional to 662,967.80, 994,451.70 and 411,025.40

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Solution

The fourth proportional to 662,967.80, 994,451.70 and 411,025.40 is: 616,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,967.80 : 994,451.70 = 411,025.40 : x
  2. Step 2: Convert to fraction form
    662,967.80/994,451.70 = 411,025.40/x
  3. Step 3: Cross multiply
    662,967.80x = 994,451.70 × 411,025.40
  4. Step 4: Simplify right side
    662,967.80x = 408,744,907,773.18
  5. Step 5: Solve for x
    x = 408,744,907,773.18/662,967.80
  6. Step 6: Final answer
    x = 616,538.10

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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.