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Finding the Fourth Proportional to 705,812.96, 974,028.05 and 383,523.05

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Solution

The fourth proportional to 705,812.96, 974,028.05 and 383,523.05 is: 529,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,812.96 : 974,028.05 = 383,523.05 : x
  2. Step 2: Convert to fraction form
    705,812.96/974,028.05 = 383,523.05/x
  3. Step 3: Cross multiply
    705,812.96x = 974,028.05 × 383,523.05
  4. Step 4: Simplify right side
    705,812.96x = 373,562,201,733.80
  5. Step 5: Solve for x
    x = 373,562,201,733.80/705,812.96
  6. Step 6: Final answer
    x = 529,265.15

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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.