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Finding the Fourth Proportional to 470,883.16, 706,308.90 and 204,643.70

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Solution

The fourth proportional to 470,883.16, 706,308.90 and 204,643.70 is: 306,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,883.16 : 706,308.90 = 204,643.70 : x
  2. Step 2: Convert to fraction form
    470,883.16/706,308.90 = 204,643.70/x
  3. Step 3: Cross multiply
    470,883.16x = 706,308.90 × 204,643.70
  4. Step 4: Simplify right side
    470,883.16x = 144,541,664,988.63
  5. Step 5: Solve for x
    x = 144,541,664,988.63/470,883.16
  6. Step 6: Final answer
    x = 306,958.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.