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Finding the Fourth Proportional to 465,768.32, 699,242.88 and 387,835.52

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Solution

The fourth proportional to 465,768.32, 699,242.88 and 387,835.52 is: 582,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,768.32 : 699,242.88 = 387,835.52 : x
  2. Step 2: Convert to fraction form
    465,768.32/699,242.88 = 387,835.52/x
  3. Step 3: Cross multiply
    465,768.32x = 699,242.88 × 387,835.52
  4. Step 4: Simplify right side
    465,768.32x = 271,191,225,971.10
  5. Step 5: Solve for x
    x = 271,191,225,971.10/465,768.32
  6. Step 6: Final answer
    x = 582,244.89

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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.