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Finding the Fourth Proportional to 706,516.08, 974,983.02 and 384,219.32

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Solution

The fourth proportional to 706,516.08, 974,983.02 and 384,219.32 is: 530,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,516.08 : 974,983.02 = 384,219.32 : x
  2. Step 2: Convert to fraction form
    706,516.08/974,983.02 = 384,219.32/x
  3. Step 3: Cross multiply
    706,516.08x = 974,983.02 × 384,219.32
  4. Step 4: Simplify right side
    706,516.08x = 374,607,308,081.03
  5. Step 5: Solve for x
    x = 374,607,308,081.03/706,516.08
  6. Step 6: Final answer
    x = 530,217.67

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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.