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Finding the Fourth Proportional to 407,190.90, 610,990.06 and 182,711.82

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Solution

The fourth proportional to 407,190.90, 610,990.06 and 182,711.82 is: 274,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,190.90 : 610,990.06 = 182,711.82 : x
  2. Step 2: Convert to fraction form
    407,190.90/610,990.06 = 182,711.82/x
  3. Step 3: Cross multiply
    407,190.90x = 610,990.06 × 182,711.82
  4. Step 4: Simplify right side
    407,190.90x = 111,635,105,864.51
  5. Step 5: Solve for x
    x = 111,635,105,864.51/407,190.90
  6. Step 6: Final answer
    x = 274,159.14

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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.