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Finding the Fourth Proportional to 648,000.20, 971,870.70 and 311,040.20

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Solution

The fourth proportional to 648,000.20, 971,870.70 and 311,040.20 is: 466,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,000.20 : 971,870.70 = 311,040.20 : x
  2. Step 2: Convert to fraction form
    648,000.20/971,870.70 = 311,040.20/x
  3. Step 3: Cross multiply
    648,000.20x = 971,870.70 × 311,040.20
  4. Step 4: Simplify right side
    648,000.20x = 302,290,856,902.14
  5. Step 5: Solve for x
    x = 302,290,856,902.14/648,000.20
  6. Step 6: Final answer
    x = 466,498.09

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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.