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Finding the Fourth Proportional to 282,647.92, 390,049.32 and 155,323.36

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Solution

The fourth proportional to 282,647.92, 390,049.32 and 155,323.36 is: 214,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,647.92 : 390,049.32 = 155,323.36 : x
  2. Step 2: Convert to fraction form
    282,647.92/390,049.32 = 155,323.36/x
  3. Step 3: Cross multiply
    282,647.92x = 390,049.32 × 155,323.36
  4. Step 4: Simplify right side
    282,647.92x = 60,583,770,948.12
  5. Step 5: Solve for x
    x = 60,583,770,948.12/282,647.92
  6. Step 6: Final answer
    x = 214,343.59

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1.5x scale

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.