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Finding the Fourth Proportional to 498,057.60, 746,195.40 and 302,955.60

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Solution

The fourth proportional to 498,057.60, 746,195.40 and 302,955.60 is: 453,891.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,057.60 : 746,195.40 = 302,955.60 : x
  2. Step 2: Convert to fraction form
    498,057.60/746,195.40 = 302,955.60/x
  3. Step 3: Cross multiply
    498,057.60x = 746,195.40 × 302,955.60
  4. Step 4: Simplify right side
    498,057.60x = 226,064,075,124.24
  5. Step 5: Solve for x
    x = 226,064,075,124.24/498,057.60
  6. Step 6: Final answer
    x = 453,891.43

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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.