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Finding the Fourth Proportional to 341,947.20, 512,920.80 and 105,362.40

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Solution

The fourth proportional to 341,947.20, 512,920.80 and 105,362.40 is: 158,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,947.20 : 512,920.80 = 105,362.40 : x
  2. Step 2: Convert to fraction form
    341,947.20/512,920.80 = 105,362.40/x
  3. Step 3: Cross multiply
    341,947.20x = 512,920.80 × 105,362.40
  4. Step 4: Simplify right side
    341,947.20x = 54,042,566,497.92
  5. Step 5: Solve for x
    x = 54,042,566,497.92/341,947.20
  6. Step 6: Final answer
    x = 158,043.60

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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.