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Finding the Fourth Proportional to 282,971.92, 390,234.28 and 186,004.48

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Solution

The fourth proportional to 282,971.92, 390,234.28 and 186,004.48 is: 256,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,971.92 : 390,234.28 = 186,004.48 : x
  2. Step 2: Convert to fraction form
    282,971.92/390,234.28 = 186,004.48/x
  3. Step 3: Cross multiply
    282,971.92x = 390,234.28 × 186,004.48
  4. Step 4: Simplify right side
    282,971.92x = 72,585,324,329.57
  5. Step 5: Solve for x
    x = 72,585,324,329.57/282,971.92
  6. Step 6: Final answer
    x = 256,510.70

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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.