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Finding the Fourth Proportional to 455,964.40, 683,881.80 and 140,453.20

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Solution

The fourth proportional to 455,964.40, 683,881.80 and 140,453.20 is: 210,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,964.40 : 683,881.80 = 140,453.20 : x
  2. Step 2: Convert to fraction form
    455,964.40/683,881.80 = 140,453.20/x
  3. Step 3: Cross multiply
    455,964.40x = 683,881.80 × 140,453.20
  4. Step 4: Simplify right side
    455,964.40x = 96,053,387,231.76
  5. Step 5: Solve for x
    x = 96,053,387,231.76/455,964.40
  6. Step 6: Final answer
    x = 210,659.84

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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.