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Finding the Fourth Proportional to 464,493.30, 696,917.46 and 180,383.34

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Solution

The fourth proportional to 464,493.30, 696,917.46 and 180,383.34 is: 270,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,493.30 : 696,917.46 = 180,383.34 : x
  2. Step 2: Convert to fraction form
    464,493.30/696,917.46 = 180,383.34/x
  3. Step 3: Cross multiply
    464,493.30x = 696,917.46 × 180,383.34
  4. Step 4: Simplify right side
    464,493.30x = 125,712,299,139.12
  5. Step 5: Solve for x
    x = 125,712,299,139.12/464,493.30
  6. Step 6: Final answer
    x = 270,643.95

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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.