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Finding the Fourth Proportional to 360,406.86, 497,341.38 and 199,252.50

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Solution

The fourth proportional to 360,406.86, 497,341.38 and 199,252.50 is: 274,957.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,406.86 : 497,341.38 = 199,252.50 : x
  2. Step 2: Convert to fraction form
    360,406.86/497,341.38 = 199,252.50/x
  3. Step 3: Cross multiply
    360,406.86x = 497,341.38 × 199,252.50
  4. Step 4: Simplify right side
    360,406.86x = 99,096,513,318.45
  5. Step 5: Solve for x
    x = 99,096,513,318.45/360,406.86
  6. Step 6: Final answer
    x = 274,957.34

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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.