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Finding the Fourth Proportional to 362,369.16, 500,072.94 and 211,437

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Solution

The fourth proportional to 362,369.16, 500,072.94 and 211,437 is: 291,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,369.16 : 500,072.94 = 211,437 : x
  2. Step 2: Convert to fraction form
    362,369.16/500,072.94 = 211,437/x
  3. Step 3: Cross multiply
    362,369.16x = 500,072.94 × 211,437
  4. Step 4: Simplify right side
    362,369.16x = 105,733,922,214.78
  5. Step 5: Solve for x
    x = 105,733,922,214.78/362,369.16
  6. Step 6: Final answer
    x = 291,785.10

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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.