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Finding the Fourth Proportional to 467,368.80, 699,440.40 and 280,514.40

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Solution

The fourth proportional to 467,368.80, 699,440.40 and 280,514.40 is: 419,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,368.80 : 699,440.40 = 280,514.40 : x
  2. Step 2: Convert to fraction form
    467,368.80/699,440.40 = 280,514.40/x
  3. Step 3: Cross multiply
    467,368.80x = 699,440.40 × 280,514.40
  4. Step 4: Simplify right side
    467,368.80x = 196,203,104,141.76
  5. Step 5: Solve for x
    x = 196,203,104,141.76/467,368.80
  6. Step 6: Final answer
    x = 419,803.60

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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.