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Finding the Fourth Proportional to 360,458.66, 497,412.77 and 199,304.02

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Solution

The fourth proportional to 360,458.66, 497,412.77 and 199,304.02 is: 275,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,458.66 : 497,412.77 = 199,304.02 : x
  2. Step 2: Convert to fraction form
    360,458.66/497,412.77 = 199,304.02/x
  3. Step 3: Cross multiply
    360,458.66x = 497,412.77 × 199,304.02
  4. Step 4: Simplify right side
    360,458.66x = 99,136,364,660.34
  5. Step 5: Solve for x
    x = 99,136,364,660.34/360,458.66
  6. Step 6: Final answer
    x = 275,028.39

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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.