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Finding the Fourth Proportional to 411,801.60, 617,702.40 and 175,084.80

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Solution

The fourth proportional to 411,801.60, 617,702.40 and 175,084.80 is: 262,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,801.60 : 617,702.40 = 175,084.80 : x
  2. Step 2: Convert to fraction form
    411,801.60/617,702.40 = 175,084.80/x
  3. Step 3: Cross multiply
    411,801.60x = 617,702.40 × 175,084.80
  4. Step 4: Simplify right side
    411,801.60x = 108,150,301,163.52
  5. Step 5: Solve for x
    x = 108,150,301,163.52/411,801.60
  6. Step 6: Final answer
    x = 262,627.20

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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.