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Finding the Fourth Proportional to 391,056.20, 539,657.56 and 212,208.20

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Solution

The fourth proportional to 391,056.20, 539,657.56 and 212,208.20 is: 292,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,056.20 : 539,657.56 = 212,208.20 : x
  2. Step 2: Convert to fraction form
    391,056.20/539,657.56 = 212,208.20/x
  3. Step 3: Cross multiply
    391,056.20x = 539,657.56 × 212,208.20
  4. Step 4: Simplify right side
    391,056.20x = 114,519,759,423.99
  5. Step 5: Solve for x
    x = 114,519,759,423.99/391,056.20
  6. Step 6: Final answer
    x = 292,847.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.