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Finding the Fourth Proportional to 406,055.80, 609,083.70 and 280,084.60

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Solution

The fourth proportional to 406,055.80, 609,083.70 and 280,084.60 is: 420,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,055.80 : 609,083.70 = 280,084.60 : x
  2. Step 2: Convert to fraction form
    406,055.80/609,083.70 = 280,084.60/x
  3. Step 3: Cross multiply
    406,055.80x = 609,083.70 × 280,084.60
  4. Step 4: Simplify right side
    406,055.80x = 170,594,964,481.02
  5. Step 5: Solve for x
    x = 170,594,964,481.02/406,055.80
  6. Step 6: Final answer
    x = 420,126.90

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1.5x scale

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.