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Finding the Fourth Proportional to 504,713.80, 757,070.70 and 414,512.20

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Solution

The fourth proportional to 504,713.80, 757,070.70 and 414,512.20 is: 621,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,713.80 : 757,070.70 = 414,512.20 : x
  2. Step 2: Convert to fraction form
    504,713.80/757,070.70 = 414,512.20/x
  3. Step 3: Cross multiply
    504,713.80x = 757,070.70 × 414,512.20
  4. Step 4: Simplify right side
    504,713.80x = 313,815,041,412.54
  5. Step 5: Solve for x
    x = 313,815,041,412.54/504,713.80
  6. Step 6: Final answer
    x = 621,768.30

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Similar ratio
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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.