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Finding the Fourth Proportional to 519,520.40, 777,968.40 and 414,544.40

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Solution

The fourth proportional to 519,520.40, 777,968.40 and 414,544.40 is: 620,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,520.40 : 777,968.40 = 414,544.40 : x
  2. Step 2: Convert to fraction form
    519,520.40/777,968.40 = 414,544.40/x
  3. Step 3: Cross multiply
    519,520.40x = 777,968.40 × 414,544.40
  4. Step 4: Simplify right side
    519,520.40x = 322,502,443,596.96
  5. Step 5: Solve for x
    x = 322,502,443,596.96/519,520.40
  6. Step 6: Final answer
    x = 620,769.55

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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.