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Finding the Fourth Proportional to 705,813.14, 974,028.31 and 383,523.24

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Solution

The fourth proportional to 705,813.14, 974,028.31 and 383,523.24 is: 529,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,813.14 : 974,028.31 = 383,523.24 : x
  2. Step 2: Convert to fraction form
    705,813.14/974,028.31 = 383,523.24/x
  3. Step 3: Cross multiply
    705,813.14x = 974,028.31 × 383,523.24
  4. Step 4: Simplify right side
    705,813.14x = 373,562,490,517.81
  5. Step 5: Solve for x
    x = 373,562,490,517.81/705,813.14
  6. Step 6: Final answer
    x = 529,265.42

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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.