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Finding the Fourth Proportional to 298,973.84, 412,350.62 and 191,553.93

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Solution

The fourth proportional to 298,973.84, 412,350.62 and 191,553.93 is: 264,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,973.84 : 412,350.62 = 191,553.93 : x
  2. Step 2: Convert to fraction form
    298,973.84/412,350.62 = 191,553.93/x
  3. Step 3: Cross multiply
    298,973.84x = 412,350.62 × 191,553.93
  4. Step 4: Simplify right side
    298,973.84x = 78,987,380,841.17
  5. Step 5: Solve for x
    x = 78,987,380,841.17/298,973.84
  6. Step 6: Final answer
    x = 264,194.96

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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.