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Finding the Fourth Proportional to 282,067.60, 423,792.60 and 212,083.60

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Solution

The fourth proportional to 282,067.60, 423,792.60 and 212,083.60 is: 318,645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,067.60 : 423,792.60 = 212,083.60 : x
  2. Step 2: Convert to fraction form
    282,067.60/423,792.60 = 212,083.60/x
  3. Step 3: Cross multiply
    282,067.60x = 423,792.60 × 212,083.60
  4. Step 4: Simplify right side
    282,067.60x = 89,879,460,261.36
  5. Step 5: Solve for x
    x = 89,879,460,261.36/282,067.60
  6. Step 6: Final answer
    x = 318,645.11

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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.