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Finding the Fourth Proportional to 357,998.14, 493,914.48 and 221,983.12

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Solution

The fourth proportional to 357,998.14, 493,914.48 and 221,983.12 is: 306,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,998.14 : 493,914.48 = 221,983.12 : x
  2. Step 2: Convert to fraction form
    357,998.14/493,914.48 = 221,983.12/x
  3. Step 3: Cross multiply
    357,998.14x = 493,914.48 × 221,983.12
  4. Step 4: Simplify right side
    357,998.14x = 109,640,677,283.58
  5. Step 5: Solve for x
    x = 109,640,677,283.58/357,998.14
  6. Step 6: Final answer
    x = 306,260.47

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1.5x scale

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.