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Finding the Fourth Proportional to 282,829.69, 390,290.52 and 155,480.68

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Solution

The fourth proportional to 282,829.69, 390,290.52 and 155,480.68 is: 214,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,829.69 : 390,290.52 = 155,480.68 : x
  2. Step 2: Convert to fraction form
    282,829.69/390,290.52 = 155,480.68/x
  3. Step 3: Cross multiply
    282,829.69x = 390,290.52 × 155,480.68
  4. Step 4: Simplify right side
    282,829.69x = 60,682,634,471.43
  5. Step 5: Solve for x
    x = 60,682,634,471.43/282,829.69
  6. Step 6: Final answer
    x = 214,555.39

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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.