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Finding the Fourth Proportional to 209,959.20, 314,938.80 and 191,588.40

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Solution

The fourth proportional to 209,959.20, 314,938.80 and 191,588.40 is: 287,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,959.20 : 314,938.80 = 191,588.40 : x
  2. Step 2: Convert to fraction form
    209,959.20/314,938.80 = 191,588.40/x
  3. Step 3: Cross multiply
    209,959.20x = 314,938.80 × 191,588.40
  4. Step 4: Simplify right side
    209,959.20x = 60,338,620,789.92
  5. Step 5: Solve for x
    x = 60,338,620,789.92/209,959.20
  6. Step 6: Final answer
    x = 287,382.60

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1.5x scale

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.