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Finding the Fourth Proportional to 510,563.32, 704,770.16 and 401,382.80

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Solution

The fourth proportional to 510,563.32, 704,770.16 and 401,382.80 is: 554,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,563.32 : 704,770.16 = 401,382.80 : x
  2. Step 2: Convert to fraction form
    510,563.32/704,770.16 = 401,382.80/x
  3. Step 3: Cross multiply
    510,563.32x = 704,770.16 × 401,382.80
  4. Step 4: Simplify right side
    510,563.32x = 282,882,620,177.25
  5. Step 5: Solve for x
    x = 282,882,620,177.25/510,563.32
  6. Step 6: Final answer
    x = 554,059.82

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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.