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Finding the Fourth Proportional to 430,892.33, 646,382.70 and 164,876.58

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Solution

The fourth proportional to 430,892.33, 646,382.70 and 164,876.58 is: 247,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,892.33 : 646,382.70 = 164,876.58 : x
  2. Step 2: Convert to fraction form
    430,892.33/646,382.70 = 164,876.58/x
  3. Step 3: Cross multiply
    430,892.33x = 646,382.70 × 164,876.58
  4. Step 4: Simplify right side
    430,892.33x = 106,573,368,947.17
  5. Step 5: Solve for x
    x = 106,573,368,947.17/430,892.33
  6. Step 6: Final answer
    x = 247,331.79

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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.