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Finding the Fourth Proportional to 520,078.20, 730,209 and 520,078.20

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Solution

The fourth proportional to 520,078.20, 730,209 and 520,078.20 is: 730,209

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,078.20 : 730,209 = 520,078.20 : x
  2. Step 2: Convert to fraction form
    520,078.20/730,209 = 520,078.20/x
  3. Step 3: Cross multiply
    520,078.20x = 730,209 × 520,078.20
  4. Step 4: Simplify right side
    520,078.20x = 379,765,782,343.80
  5. Step 5: Solve for x
    x = 379,765,782,343.80/520,078.20
  6. Step 6: Final answer
    x = 730,209

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.