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Finding the Fourth Proportional to 441,709.60, 662,564.40 and 411,966.40

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Solution

The fourth proportional to 441,709.60, 662,564.40 and 411,966.40 is: 617,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,709.60 : 662,564.40 = 411,966.40 : x
  2. Step 2: Convert to fraction form
    441,709.60/662,564.40 = 411,966.40/x
  3. Step 3: Cross multiply
    441,709.60x = 662,564.40 × 411,966.40
  4. Step 4: Simplify right side
    441,709.60x = 272,954,270,636.16
  5. Step 5: Solve for x
    x = 272,954,270,636.16/441,709.60
  6. Step 6: Final answer
    x = 617,949.60

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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.