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Finding the Fourth Proportional to 282,442.80, 423,372.60 and 203,283.12

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Solution

The fourth proportional to 282,442.80, 423,372.60 and 203,283.12 is: 304,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,442.80 : 423,372.60 = 203,283.12 : x
  2. Step 2: Convert to fraction form
    282,442.80/423,372.60 = 203,283.12/x
  3. Step 3: Cross multiply
    282,442.80x = 423,372.60 × 203,283.12
  4. Step 4: Simplify right side
    282,442.80x = 86,064,503,050.51
  5. Step 5: Solve for x
    x = 86,064,503,050.51/282,442.80
  6. Step 6: Final answer
    x = 304,714.81

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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.