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Finding the Fourth Proportional to 705,311.09, 973,627.24 and 476,178.73

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Solution

The fourth proportional to 705,311.09, 973,627.24 and 476,178.73 is: 657,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,311.09 : 973,627.24 = 476,178.73 : x
  2. Step 2: Convert to fraction form
    705,311.09/973,627.24 = 476,178.73/x
  3. Step 3: Cross multiply
    705,311.09x = 973,627.24 × 476,178.73
  4. Step 4: Simplify right side
    705,311.09x = 463,620,582,636.61
  5. Step 5: Solve for x
    x = 463,620,582,636.61/705,311.09
  6. Step 6: Final answer
    x = 657,327.79

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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.