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Finding the Fourth Proportional to 270,713.18, 406,468.94 and 151,004.01

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Solution

The fourth proportional to 270,713.18, 406,468.94 and 151,004.01 is: 226,728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,713.18 : 406,468.94 = 151,004.01 : x
  2. Step 2: Convert to fraction form
    270,713.18/406,468.94 = 151,004.01/x
  3. Step 3: Cross multiply
    270,713.18x = 406,468.94 × 151,004.01
  4. Step 4: Simplify right side
    270,713.18x = 61,378,439,880.45
  5. Step 5: Solve for x
    x = 61,378,439,880.45/270,713.18
  6. Step 6: Final answer
    x = 226,728.67

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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.