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Finding the Fourth Proportional to 706,303.96, 974,694.53 and 384,014.05

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Solution

The fourth proportional to 706,303.96, 974,694.53 and 384,014.05 is: 529,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,303.96 : 974,694.53 = 384,014.05 : x
  2. Step 2: Convert to fraction form
    706,303.96/974,694.53 = 384,014.05/x
  3. Step 3: Cross multiply
    706,303.96x = 974,694.53 × 384,014.05
  4. Step 4: Simplify right side
    706,303.96x = 374,296,393,978.15
  5. Step 5: Solve for x
    x = 374,296,393,978.15/706,303.96
  6. Step 6: Final answer
    x = 529,936.71

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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.