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Finding the Fourth Proportional to 598,496, 825,941.76 and 330,241.28

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Solution

The fourth proportional to 598,496, 825,941.76 and 330,241.28 is: 455,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,496 : 825,941.76 = 330,241.28 : x
  2. Step 2: Convert to fraction form
    598,496/825,941.76 = 330,241.28/x
  3. Step 3: Cross multiply
    598,496x = 825,941.76 × 330,241.28
  4. Step 4: Simplify right side
    598,496x = 272,760,064,027.85
  5. Step 5: Solve for x
    x = 272,760,064,027.85/598,496
  6. Step 6: Final answer
    x = 455,742.50

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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.