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Finding the Fourth Proportional to 591,459.20, 816,212.80 and 336,810.48

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Solution

The fourth proportional to 591,459.20, 816,212.80 and 336,810.48 is: 464,797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,459.20 : 816,212.80 = 336,810.48 : x
  2. Step 2: Convert to fraction form
    591,459.20/816,212.80 = 336,810.48/x
  3. Step 3: Cross multiply
    591,459.20x = 816,212.80 × 336,810.48
  4. Step 4: Simplify right side
    591,459.20x = 274,909,024,950.14
  5. Step 5: Solve for x
    x = 274,909,024,950.14/591,459.20
  6. Step 6: Final answer
    x = 464,797.95

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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.