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Finding the Fourth Proportional to 515,446.80, 711,352.10 and 289,106.88

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Solution

The fourth proportional to 515,446.80, 711,352.10 and 289,106.88 is: 398,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,446.80 : 711,352.10 = 289,106.88 : x
  2. Step 2: Convert to fraction form
    515,446.80/711,352.10 = 289,106.88/x
  3. Step 3: Cross multiply
    515,446.80x = 711,352.10 × 289,106.88
  4. Step 4: Simplify right side
    515,446.80x = 205,656,786,212.45
  5. Step 5: Solve for x
    x = 205,656,786,212.45/515,446.80
  6. Step 6: Final answer
    x = 398,987.41

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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.