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Finding the Fourth Proportional to 400,795.84, 601,191.06 and 164,138.14

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Solution

The fourth proportional to 400,795.84, 601,191.06 and 164,138.14 is: 246,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,795.84 : 601,191.06 = 164,138.14 : x
  2. Step 2: Convert to fraction form
    400,795.84/601,191.06 = 164,138.14/x
  3. Step 3: Cross multiply
    400,795.84x = 601,191.06 × 164,138.14
  4. Step 4: Simplify right side
    400,795.84x = 98,678,382,373.03
  5. Step 5: Solve for x
    x = 98,678,382,373.03/400,795.84
  6. Step 6: Final answer
    x = 246,206.10

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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.