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Finding the Fourth Proportional to 406,051.20, 609,076.80 and 169,401.60

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Solution

The fourth proportional to 406,051.20, 609,076.80 and 169,401.60 is: 254,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,051.20 : 609,076.80 = 169,401.60 : x
  2. Step 2: Convert to fraction form
    406,051.20/609,076.80 = 169,401.60/x
  3. Step 3: Cross multiply
    406,051.20x = 609,076.80 × 169,401.60
  4. Step 4: Simplify right side
    406,051.20x = 103,178,584,442.88
  5. Step 5: Solve for x
    x = 103,178,584,442.88/406,051.20
  6. Step 6: Final answer
    x = 254,102.40

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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.