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Finding the Fourth Proportional to 598,484, 825,907.92 and 330,212

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Solution

The fourth proportional to 598,484, 825,907.92 and 330,212 is: 455,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,484 : 825,907.92 = 330,212 : x
  2. Step 2: Convert to fraction form
    598,484/825,907.92 = 330,212/x
  3. Step 3: Cross multiply
    598,484x = 825,907.92 × 330,212
  4. Step 4: Simplify right side
    598,484x = 272,724,706,079.04
  5. Step 5: Solve for x
    x = 272,724,706,079.04/598,484
  6. Step 6: Final answer
    x = 455,692.56

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Why These Related Problems?

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