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Finding the Fourth Proportional to 413,270.40, 618,739.20 and 413,270.40

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Solution

The fourth proportional to 413,270.40, 618,739.20 and 413,270.40 is: 618,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,270.40 : 618,739.20 = 413,270.40 : x
  2. Step 2: Convert to fraction form
    413,270.40/618,739.20 = 413,270.40/x
  3. Step 3: Cross multiply
    413,270.40x = 618,739.20 × 413,270.40
  4. Step 4: Simplify right side
    413,270.40x = 255,706,596,679.68
  5. Step 5: Solve for x
    x = 255,706,596,679.68/413,270.40
  6. Step 6: Final answer
    x = 618,739.20

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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.