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Finding the Fourth Proportional to 406,415.20, 609,622.80 and 264,697.60

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Solution

The fourth proportional to 406,415.20, 609,622.80 and 264,697.60 is: 397,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,415.20 : 609,622.80 = 264,697.60 : x
  2. Step 2: Convert to fraction form
    406,415.20/609,622.80 = 264,697.60/x
  3. Step 3: Cross multiply
    406,415.20x = 609,622.80 × 264,697.60
  4. Step 4: Simplify right side
    406,415.20x = 161,365,692,065.28
  5. Step 5: Solve for x
    x = 161,365,692,065.28/406,415.20
  6. Step 6: Final answer
    x = 397,046.40

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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.