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Finding the Fourth Proportional to 209,983.70, 314,975.55 and 209,983.70

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Solution

The fourth proportional to 209,983.70, 314,975.55 and 209,983.70 is: 314,975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,983.70 : 314,975.55 = 209,983.70 : x
  2. Step 2: Convert to fraction form
    209,983.70/314,975.55 = 209,983.70/x
  3. Step 3: Cross multiply
    209,983.70x = 314,975.55 × 209,983.70
  4. Step 4: Simplify right side
    209,983.70x = 66,139,731,398.54
  5. Step 5: Solve for x
    x = 66,139,731,398.54/209,983.70
  6. Step 6: Final answer
    x = 314,975.55

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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.