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Finding the Fourth Proportional to 330,429.20, 495,643.80 and 313,370.60

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Solution

The fourth proportional to 330,429.20, 495,643.80 and 313,370.60 is: 470,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,429.20 : 495,643.80 = 313,370.60 : x
  2. Step 2: Convert to fraction form
    330,429.20/495,643.80 = 313,370.60/x
  3. Step 3: Cross multiply
    330,429.20x = 495,643.80 × 313,370.60
  4. Step 4: Simplify right side
    330,429.20x = 155,320,194,992.28
  5. Step 5: Solve for x
    x = 155,320,194,992.28/330,429.20
  6. Step 6: Final answer
    x = 470,055.90

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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.