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Finding the Fourth Proportional to 341,871.40, 512,807.10 and 164,724.40

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Solution

The fourth proportional to 341,871.40, 512,807.10 and 164,724.40 is: 247,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,871.40 : 512,807.10 = 164,724.40 : x
  2. Step 2: Convert to fraction form
    341,871.40/512,807.10 = 164,724.40/x
  3. Step 3: Cross multiply
    341,871.40x = 512,807.10 × 164,724.40
  4. Step 4: Simplify right side
    341,871.40x = 84,471,841,863.24
  5. Step 5: Solve for x
    x = 84,471,841,863.24/341,871.40
  6. Step 6: Final answer
    x = 247,086.60

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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.