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Finding the Fourth Proportional to 470,103.20, 705,615.60 and 233,712.80

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Solution

The fourth proportional to 470,103.20, 705,615.60 and 233,712.80 is: 350,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,103.20 : 705,615.60 = 233,712.80 : x
  2. Step 2: Convert to fraction form
    470,103.20/705,615.60 = 233,712.80/x
  3. Step 3: Cross multiply
    470,103.20x = 705,615.60 × 233,712.80
  4. Step 4: Simplify right side
    470,103.20x = 164,911,397,599.68
  5. Step 5: Solve for x
    x = 164,911,397,599.68/470,103.20
  6. Step 6: Final answer
    x = 350,798.29

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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.