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Finding the Fourth Proportional to 282,055.35, 422,685.24 and 155,752.47

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Solution

The fourth proportional to 282,055.35, 422,685.24 and 155,752.47 is: 233,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,055.35 : 422,685.24 = 155,752.47 : x
  2. Step 2: Convert to fraction form
    282,055.35/422,685.24 = 155,752.47/x
  3. Step 3: Cross multiply
    282,055.35x = 422,685.24 × 155,752.47
  4. Step 4: Simplify right side
    282,055.35x = 65,834,270,162.54
  5. Step 5: Solve for x
    x = 65,834,270,162.54/282,055.35
  6. Step 6: Final answer
    x = 233,409.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.