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Finding the Fourth Proportional to 358,938.95, 495,359.01 and 205,983.59

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Solution

The fourth proportional to 358,938.95, 495,359.01 and 205,983.59 is: 284,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,938.95 : 495,359.01 = 205,983.59 : x
  2. Step 2: Convert to fraction form
    358,938.95/495,359.01 = 205,983.59/x
  3. Step 3: Cross multiply
    358,938.95x = 495,359.01 × 205,983.59
  4. Step 4: Simplify right side
    358,938.95x = 102,035,827,322.89
  5. Step 5: Solve for x
    x = 102,035,827,322.89/358,938.95
  6. Step 6: Final answer
    x = 284,270.70

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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.