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Finding the Fourth Proportional to 685,441.58, 945,611.58 and 413,358.28

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Solution

The fourth proportional to 685,441.58, 945,611.58 and 413,358.28 is: 570,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,441.58 : 945,611.58 = 413,358.28 : x
  2. Step 2: Convert to fraction form
    685,441.58/945,611.58 = 413,358.28/x
  3. Step 3: Cross multiply
    685,441.58x = 945,611.58 × 413,358.28
  4. Step 4: Simplify right side
    685,441.58x = 390,876,376,256.88
  5. Step 5: Solve for x
    x = 390,876,376,256.88/685,441.58
  6. Step 6: Final answer
    x = 570,254.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.