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Finding the Fourth Proportional to 357,237.52, 492,969.96 and 206,325.52

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Solution

The fourth proportional to 357,237.52, 492,969.96 and 206,325.52 is: 284,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,237.52 : 492,969.96 = 206,325.52 : x
  2. Step 2: Convert to fraction form
    357,237.52/492,969.96 = 206,325.52/x
  3. Step 3: Cross multiply
    357,237.52x = 492,969.96 × 206,325.52
  4. Step 4: Simplify right side
    357,237.52x = 101,712,283,341.38
  5. Step 5: Solve for x
    x = 101,712,283,341.38/357,237.52
  6. Step 6: Final answer
    x = 284,718.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.