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Finding the Fourth Proportional to 497,053.80, 744,843.42 and 365,080.68

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Solution

The fourth proportional to 497,053.80, 744,843.42 and 365,080.68 is: 547,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,053.80 : 744,843.42 = 365,080.68 : x
  2. Step 2: Convert to fraction form
    497,053.80/744,843.42 = 365,080.68/x
  3. Step 3: Cross multiply
    497,053.80x = 744,843.42 × 365,080.68
  4. Step 4: Simplify right side
    497,053.80x = 271,927,942,267.13
  5. Step 5: Solve for x
    x = 271,927,942,267.13/497,053.80
  6. Step 6: Final answer
    x = 547,079.50

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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.