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Finding the Fourth Proportional to 520,433.80, 779,921.70 and 413,999.80

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Solution

The fourth proportional to 520,433.80, 779,921.70 and 413,999.80 is: 620,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,433.80 : 779,921.70 = 413,999.80 : x
  2. Step 2: Convert to fraction form
    520,433.80/779,921.70 = 413,999.80/x
  3. Step 3: Cross multiply
    520,433.80x = 779,921.70 × 413,999.80
  4. Step 4: Simplify right side
    520,433.80x = 322,887,427,815.66
  5. Step 5: Solve for x
    x = 322,887,427,815.66/520,433.80
  6. Step 6: Final answer
    x = 620,419.79

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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.