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Finding the Fourth Proportional to 706,504.96, 974,967.66 and 384,208.14

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Solution

The fourth proportional to 706,504.96, 974,967.66 and 384,208.14 is: 530,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,504.96 : 974,967.66 = 384,208.14 : x
  2. Step 2: Convert to fraction form
    706,504.96/974,967.66 = 384,208.14/x
  3. Step 3: Cross multiply
    706,504.96x = 974,967.66 × 384,208.14
  4. Step 4: Simplify right side
    706,504.96x = 374,590,511,208.75
  5. Step 5: Solve for x
    x = 374,590,511,208.75/706,504.96
  6. Step 6: Final answer
    x = 530,202.24

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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.