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Finding the Fourth Proportional to 520,512.30, 780,039.45 and 414,078.30

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Solution

The fourth proportional to 520,512.30, 780,039.45 and 414,078.30 is: 620,537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,512.30 : 780,039.45 = 414,078.30 : x
  2. Step 2: Convert to fraction form
    520,512.30/780,039.45 = 414,078.30/x
  3. Step 3: Cross multiply
    520,512.30x = 780,039.45 × 414,078.30
  4. Step 4: Simplify right side
    520,512.30x = 322,997,409,388.94
  5. Step 5: Solve for x
    x = 322,997,409,388.94/520,512.30
  6. Step 6: Final answer
    x = 620,537.52

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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.