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Finding the Fourth Proportional to 706,114.41, 974,441.34 and 383,824.50

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Solution

The fourth proportional to 706,114.41, 974,441.34 and 383,824.50 is: 529,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,114.41 : 974,441.34 = 383,824.50 : x
  2. Step 2: Convert to fraction form
    706,114.41/974,441.34 = 383,824.50/x
  3. Step 3: Cross multiply
    706,114.41x = 974,441.34 × 383,824.50
  4. Step 4: Simplify right side
    706,114.41x = 374,014,460,104.83
  5. Step 5: Solve for x
    x = 374,014,460,104.83/706,114.41
  6. Step 6: Final answer
    x = 529,679.69

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