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Finding the Fourth Proportional to 343,396.60, 515,094.90 and 153,856.60

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Solution

The fourth proportional to 343,396.60, 515,094.90 and 153,856.60 is: 230,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,396.60 : 515,094.90 = 153,856.60 : x
  2. Step 2: Convert to fraction form
    343,396.60/515,094.90 = 153,856.60/x
  3. Step 3: Cross multiply
    343,396.60x = 515,094.90 × 153,856.60
  4. Step 4: Simplify right side
    343,396.60x = 79,250,749,991.34
  5. Step 5: Solve for x
    x = 79,250,749,991.34/343,396.60
  6. Step 6: Final answer
    x = 230,784.90

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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.