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Finding the Fourth Proportional to 471,242.40, 705,308.40 and 365,488.80

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Solution

The fourth proportional to 471,242.40, 705,308.40 and 365,488.80 is: 547,027.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,242.40 : 705,308.40 = 365,488.80 : x
  2. Step 2: Convert to fraction form
    471,242.40/705,308.40 = 365,488.80/x
  3. Step 3: Cross multiply
    471,242.40x = 705,308.40 × 365,488.80
  4. Step 4: Simplify right side
    471,242.40x = 257,782,320,745.92
  5. Step 5: Solve for x
    x = 257,782,320,745.92/471,242.40
  6. Step 6: Final answer
    x = 547,027.01

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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.