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Finding the Fourth Proportional to 401,185.71, 601,680.15 and 164,596.05

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Solution

The fourth proportional to 401,185.71, 601,680.15 and 164,596.05 is: 246,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,185.71 : 601,680.15 = 164,596.05 : x
  2. Step 2: Convert to fraction form
    401,185.71/601,680.15 = 164,596.05/x
  3. Step 3: Cross multiply
    401,185.71x = 601,680.15 × 164,596.05
  4. Step 4: Simplify right side
    401,185.71x = 99,034,176,053.41
  5. Step 5: Solve for x
    x = 99,034,176,053.41/401,185.71
  6. Step 6: Final answer
    x = 246,853.70

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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.