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Finding the Fourth Proportional to 393,184.98, 542,740.14 and 345,296.97

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Solution

The fourth proportional to 393,184.98, 542,740.14 and 345,296.97 is: 476,637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,184.98 : 542,740.14 = 345,296.97 : x
  2. Step 2: Convert to fraction form
    393,184.98/542,740.14 = 345,296.97/x
  3. Step 3: Cross multiply
    393,184.98x = 542,740.14 × 345,296.97
  4. Step 4: Simplify right side
    393,184.98x = 187,406,525,839.38
  5. Step 5: Solve for x
    x = 187,406,525,839.38/393,184.98
  6. Step 6: Final answer
    x = 476,637.04

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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.