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Finding the Fourth Proportional to 360,857.94, 497,980.29 and 199,713.30

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Solution

The fourth proportional to 360,857.94, 497,980.29 and 199,713.30 is: 275,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,857.94 : 497,980.29 = 199,713.30 : x
  2. Step 2: Convert to fraction form
    360,857.94/497,980.29 = 199,713.30/x
  3. Step 3: Cross multiply
    360,857.94x = 497,980.29 × 199,713.30
  4. Step 4: Simplify right side
    360,857.94x = 99,453,287,050.86
  5. Step 5: Solve for x
    x = 99,453,287,050.86/360,857.94
  6. Step 6: Final answer
    x = 275,602.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.