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Finding the Fourth Proportional to 506,191.84, 759,000.21 and 206,321.20

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Solution

The fourth proportional to 506,191.84, 759,000.21 and 206,321.20 is: 309,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,191.84 : 759,000.21 = 206,321.20 : x
  2. Step 2: Convert to fraction form
    506,191.84/759,000.21 = 206,321.20/x
  3. Step 3: Cross multiply
    506,191.84x = 759,000.21 × 206,321.20
  4. Step 4: Simplify right side
    506,191.84x = 156,597,834,127.45
  5. Step 5: Solve for x
    x = 156,597,834,127.45/506,191.84
  6. Step 6: Final answer
    x = 309,364.60

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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.