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Finding the Fourth Proportional to 209,964.70, 314,947.05 and 209,964.70

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Solution

The fourth proportional to 209,964.70, 314,947.05 and 209,964.70 is: 314,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,964.70 : 314,947.05 = 209,964.70 : x
  2. Step 2: Convert to fraction form
    209,964.70/314,947.05 = 209,964.70/x
  3. Step 3: Cross multiply
    209,964.70x = 314,947.05 × 209,964.70
  4. Step 4: Simplify right side
    209,964.70x = 66,127,762,869.14
  5. Step 5: Solve for x
    x = 66,127,762,869.14/209,964.70
  6. Step 6: Final answer
    x = 314,947.05

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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.