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Finding the Fourth Proportional to 498,744.16, 748,213.80 and 183,203.44

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Solution

The fourth proportional to 498,744.16, 748,213.80 and 183,203.44 is: 274,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,744.16 : 748,213.80 = 183,203.44 : x
  2. Step 2: Convert to fraction form
    498,744.16/748,213.80 = 183,203.44/x
  3. Step 3: Cross multiply
    498,744.16x = 748,213.80 × 183,203.44
  4. Step 4: Simplify right side
    498,744.16x = 137,075,342,015.47
  5. Step 5: Solve for x
    x = 137,075,342,015.47/498,744.16
  6. Step 6: Final answer
    x = 274,841.00

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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.