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Finding the Fourth Proportional to 472,383.84, 708,362.48 and 135,347.34

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Solution

The fourth proportional to 472,383.84, 708,362.48 and 135,347.34 is: 202,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,383.84 : 708,362.48 = 135,347.34 : x
  2. Step 2: Convert to fraction form
    472,383.84/708,362.48 = 135,347.34/x
  3. Step 3: Cross multiply
    472,383.84x = 708,362.48 × 135,347.34
  4. Step 4: Simplify right side
    472,383.84x = 95,874,977,423.80
  5. Step 5: Solve for x
    x = 95,874,977,423.80/472,383.84
  6. Step 6: Final answer
    x = 202,959.90

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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.