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Finding the Fourth Proportional to 415,406.80, 623,110.20 and 412,782.40

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Solution

The fourth proportional to 415,406.80, 623,110.20 and 412,782.40 is: 619,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,406.80 : 623,110.20 = 412,782.40 : x
  2. Step 2: Convert to fraction form
    415,406.80/623,110.20 = 412,782.40/x
  3. Step 3: Cross multiply
    415,406.80x = 623,110.20 × 412,782.40
  4. Step 4: Simplify right side
    415,406.80x = 257,208,923,820.48
  5. Step 5: Solve for x
    x = 257,208,923,820.48/415,406.80
  6. Step 6: Final answer
    x = 619,173.60

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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.