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Finding the Fourth Proportional to 282,015.74, 389,180.68 and 174,564.38

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Solution

The fourth proportional to 282,015.74, 389,180.68 and 174,564.38 is: 240,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,015.74 : 389,180.68 = 174,564.38 : x
  2. Step 2: Convert to fraction form
    282,015.74/389,180.68 = 174,564.38/x
  3. Step 3: Cross multiply
    282,015.74x = 389,180.68 × 174,564.38
  4. Step 4: Simplify right side
    282,015.74x = 67,937,081,729.86
  5. Step 5: Solve for x
    x = 67,937,081,729.86/282,015.74
  6. Step 6: Final answer
    x = 240,898.20

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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.