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Finding the Fourth Proportional to 495,742.68, 684,096.84 and 269,386.56

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Solution

The fourth proportional to 495,742.68, 684,096.84 and 269,386.56 is: 371,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,742.68 : 684,096.84 = 269,386.56 : x
  2. Step 2: Convert to fraction form
    495,742.68/684,096.84 = 269,386.56/x
  3. Step 3: Cross multiply
    495,742.68x = 684,096.84 × 269,386.56
  4. Step 4: Simplify right side
    495,742.68x = 184,286,494,434.47
  5. Step 5: Solve for x
    x = 184,286,494,434.47/495,742.68
  6. Step 6: Final answer
    x = 371,738.21

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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.