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Finding the Fourth Proportional to 520,110.80, 780,166.20 and 429,909.20

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Solution

The fourth proportional to 520,110.80, 780,166.20 and 429,909.20 is: 644,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,110.80 : 780,166.20 = 429,909.20 : x
  2. Step 2: Convert to fraction form
    520,110.80/780,166.20 = 429,909.20/x
  3. Step 3: Cross multiply
    520,110.80x = 780,166.20 × 429,909.20
  4. Step 4: Simplify right side
    520,110.80x = 335,400,626,909.04
  5. Step 5: Solve for x
    x = 335,400,626,909.04/520,110.80
  6. Step 6: Final answer
    x = 644,863.80

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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.