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Finding the Fourth Proportional to 314,189.20, 470,765.40 and 156,077.20

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Solution

The fourth proportional to 314,189.20, 470,765.40 and 156,077.20 is: 233,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,189.20 : 470,765.40 = 156,077.20 : x
  2. Step 2: Convert to fraction form
    314,189.20/470,765.40 = 156,077.20/x
  3. Step 3: Cross multiply
    314,189.20x = 470,765.40 × 156,077.20
  4. Step 4: Simplify right side
    314,189.20x = 73,475,745,488.88
  5. Step 5: Solve for x
    x = 73,475,745,488.88/314,189.20
  6. Step 6: Final answer
    x = 233,858.28

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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.