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Finding the Fourth Proportional to 588,847.20, 883,270.80 and 470,749.20

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Solution

The fourth proportional to 588,847.20, 883,270.80 and 470,749.20 is: 706,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,847.20 : 883,270.80 = 470,749.20 : x
  2. Step 2: Convert to fraction form
    588,847.20/883,270.80 = 470,749.20/x
  3. Step 3: Cross multiply
    588,847.20x = 883,270.80 × 470,749.20
  4. Step 4: Simplify right side
    588,847.20x = 415,799,022,483.36
  5. Step 5: Solve for x
    x = 415,799,022,483.36/588,847.20
  6. Step 6: Final answer
    x = 706,123.80

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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.