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Finding the Fourth Proportional to 282,175.20, 423,262.80 and 219,892.32

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Solution

The fourth proportional to 282,175.20, 423,262.80 and 219,892.32 is: 329,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,175.20 : 423,262.80 = 219,892.32 : x
  2. Step 2: Convert to fraction form
    282,175.20/423,262.80 = 219,892.32/x
  3. Step 3: Cross multiply
    282,175.20x = 423,262.80 × 219,892.32
  4. Step 4: Simplify right side
    282,175.20x = 93,072,239,061.70
  5. Step 5: Solve for x
    x = 93,072,239,061.70/282,175.20
  6. Step 6: Final answer
    x = 329,838.48

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1.5x scale

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.