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Finding the Fourth Proportional to 446,820.40, 670,230.60 and 194,221.90

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Solution

The fourth proportional to 446,820.40, 670,230.60 and 194,221.90 is: 291,332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,820.40 : 670,230.60 = 194,221.90 : x
  2. Step 2: Convert to fraction form
    446,820.40/670,230.60 = 194,221.90/x
  3. Step 3: Cross multiply
    446,820.40x = 670,230.60 × 194,221.90
  4. Step 4: Simplify right side
    446,820.40x = 130,173,460,570.14
  5. Step 5: Solve for x
    x = 130,173,460,570.14/446,820.40
  6. Step 6: Final answer
    x = 291,332.85

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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.