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Finding the Fourth Proportional to 209,312.20, 313,968.30 and 207,343.90

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Solution

The fourth proportional to 209,312.20, 313,968.30 and 207,343.90 is: 311,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,312.20 : 313,968.30 = 207,343.90 : x
  2. Step 2: Convert to fraction form
    209,312.20/313,968.30 = 207,343.90/x
  3. Step 3: Cross multiply
    209,312.20x = 313,968.30 × 207,343.90
  4. Step 4: Simplify right side
    209,312.20x = 65,099,411,798.37
  5. Step 5: Solve for x
    x = 65,099,411,798.37/209,312.20
  6. Step 6: Final answer
    x = 311,015.85

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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.