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Finding the Fourth Proportional to 520,434.80, 779,923.20 and 414,000.80

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Solution

The fourth proportional to 520,434.80, 779,923.20 and 414,000.80 is: 620,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,434.80 : 779,923.20 = 414,000.80 : x
  2. Step 2: Convert to fraction form
    520,434.80/779,923.20 = 414,000.80/x
  3. Step 3: Cross multiply
    520,434.80x = 779,923.20 × 414,000.80
  4. Step 4: Simplify right side
    520,434.80x = 322,888,828,738.56
  5. Step 5: Solve for x
    x = 322,888,828,738.56/520,434.80
  6. Step 6: Final answer
    x = 620,421.29

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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.