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Finding the Fourth Proportional to 369,574.16, 510,012.38 and 199,808.24

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Solution

The fourth proportional to 369,574.16, 510,012.38 and 199,808.24 is: 275,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,574.16 : 510,012.38 = 199,808.24 : x
  2. Step 2: Convert to fraction form
    369,574.16/510,012.38 = 199,808.24/x
  3. Step 3: Cross multiply
    369,574.16x = 510,012.38 × 199,808.24
  4. Step 4: Simplify right side
    369,574.16x = 101,904,676,026.01
  5. Step 5: Solve for x
    x = 101,904,676,026.01/369,574.16
  6. Step 6: Final answer
    x = 275,735.39

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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.