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Finding the Fourth Proportional to 705,651.82, 973,729.24 and 399,667.13

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Solution

The fourth proportional to 705,651.82, 973,729.24 and 399,667.13 is: 551,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,651.82 : 973,729.24 = 399,667.13 : x
  2. Step 2: Convert to fraction form
    705,651.82/973,729.24 = 399,667.13/x
  3. Step 3: Cross multiply
    705,651.82x = 973,729.24 × 399,667.13
  4. Step 4: Simplify right side
    705,651.82x = 389,167,565,879.24
  5. Step 5: Solve for x
    x = 389,167,565,879.24/705,651.82
  6. Step 6: Final answer
    x = 551,500.84

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.