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Finding the Fourth Proportional to 706,508.64, 974,977.11 and 384,217.86

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Solution

The fourth proportional to 706,508.64, 974,977.11 and 384,217.86 is: 530,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,508.64 : 974,977.11 = 384,217.86 : x
  2. Step 2: Convert to fraction form
    706,508.64/974,977.11 = 384,217.86/x
  3. Step 3: Cross multiply
    706,508.64x = 974,977.11 × 384,217.86
  4. Step 4: Simplify right side
    706,508.64x = 374,603,618,753.19
  5. Step 5: Solve for x
    x = 374,603,618,753.19/706,508.64
  6. Step 6: Final answer
    x = 530,218.03

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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.