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Finding the Fourth Proportional to 706,119.22, 974,445.18 and 383,829.30

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Solution

The fourth proportional to 706,119.22, 974,445.18 and 383,829.30 is: 529,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,119.22 : 974,445.18 = 383,829.30 : x
  2. Step 2: Convert to fraction form
    706,119.22/974,445.18 = 383,829.30/x
  3. Step 3: Cross multiply
    706,119.22x = 974,445.18 × 383,829.30
  4. Step 4: Simplify right side
    706,119.22x = 374,020,611,327.77
  5. Step 5: Solve for x
    x = 374,020,611,327.77/706,119.22
  6. Step 6: Final answer
    x = 529,684.79

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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.