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Finding the Fourth Proportional to 406,548.48, 609,777.28 and 107,057.28

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Solution

The fourth proportional to 406,548.48, 609,777.28 and 107,057.28 is: 160,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,548.48 : 609,777.28 = 107,057.28 : x
  2. Step 2: Convert to fraction form
    406,548.48/609,777.28 = 107,057.28/x
  3. Step 3: Cross multiply
    406,548.48x = 609,777.28 × 107,057.28
  4. Step 4: Simplify right side
    406,548.48x = 65,281,097,002.60
  5. Step 5: Solve for x
    x = 65,281,097,002.60/406,548.48
  6. Step 6: Final answer
    x = 160,573.95

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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.