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Finding the Fourth Proportional to 360,409.74, 497,322.45 and 199,243.14

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Solution

The fourth proportional to 360,409.74, 497,322.45 and 199,243.14 is: 274,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,409.74 : 497,322.45 = 199,243.14 : x
  2. Step 2: Convert to fraction form
    360,409.74/497,322.45 = 199,243.14/x
  3. Step 3: Cross multiply
    360,409.74x = 497,322.45 × 199,243.14
  4. Step 4: Simplify right side
    360,409.74x = 99,088,086,530.49
  5. Step 5: Solve for x
    x = 99,088,086,530.49/360,409.74
  6. Step 6: Final answer
    x = 274,931.77

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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.