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Finding the Fourth Proportional to 705,519.10, 973,770.42 and 433,820.80

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Solution

The fourth proportional to 705,519.10, 973,770.42 and 433,820.80 is: 598,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,519.10 : 973,770.42 = 433,820.80 : x
  2. Step 2: Convert to fraction form
    705,519.10/973,770.42 = 433,820.80/x
  3. Step 3: Cross multiply
    705,519.10x = 973,770.42 × 433,820.80
  4. Step 4: Simplify right side
    705,519.10x = 422,441,862,620.74
  5. Step 5: Solve for x
    x = 422,441,862,620.74/705,519.10
  6. Step 6: Final answer
    x = 598,767.44

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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.