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Finding the Fourth Proportional to 286,814.43, 430,218 and 128,931.27

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Solution

The fourth proportional to 286,814.43, 430,218 and 128,931.27 is: 193,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,814.43 : 430,218 = 128,931.27 : x
  2. Step 2: Convert to fraction form
    286,814.43/430,218 = 128,931.27/x
  3. Step 3: Cross multiply
    286,814.43x = 430,218 × 128,931.27
  4. Step 4: Simplify right side
    286,814.43x = 55,468,553,116.86
  5. Step 5: Solve for x
    x = 55,468,553,116.86/286,814.43
  6. Step 6: Final answer
    x = 193,395.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.