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Finding the Fourth Proportional to 282,768.30, 424,108.44 and 183,631.32

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Solution

The fourth proportional to 282,768.30, 424,108.44 and 183,631.32 is: 275,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,768.30 : 424,108.44 = 183,631.32 : x
  2. Step 2: Convert to fraction form
    282,768.30/424,108.44 = 183,631.32/x
  3. Step 3: Cross multiply
    282,768.30x = 424,108.44 × 183,631.32
  4. Step 4: Simplify right side
    282,768.30x = 77,879,592,660.34
  5. Step 5: Solve for x
    x = 77,879,592,660.34/282,768.30
  6. Step 6: Final answer
    x = 275,418.40

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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.