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Finding the Fourth Proportional to 378,499.50, 567,749.34 and 153,982.08

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Solution

The fourth proportional to 378,499.50, 567,749.34 and 153,982.08 is: 230,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,499.50 : 567,749.34 = 153,982.08 : x
  2. Step 2: Convert to fraction form
    378,499.50/567,749.34 = 153,982.08/x
  3. Step 3: Cross multiply
    378,499.50x = 567,749.34 × 153,982.08
  4. Step 4: Simplify right side
    378,499.50x = 87,423,224,291.83
  5. Step 5: Solve for x
    x = 87,423,224,291.83/378,499.50
  6. Step 6: Final answer
    x = 230,973.16

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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.