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Finding the Fourth Proportional to 470,526.16, 705,392.48 and 204,086

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Solution

The fourth proportional to 470,526.16, 705,392.48 and 204,086 is: 305,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,526.16 : 705,392.48 = 204,086 : x
  2. Step 2: Convert to fraction form
    470,526.16/705,392.48 = 204,086/x
  3. Step 3: Cross multiply
    470,526.16x = 705,392.48 × 204,086
  4. Step 4: Simplify right side
    470,526.16x = 143,960,729,673.28
  5. Step 5: Solve for x
    x = 143,960,729,673.28/470,526.16
  6. Step 6: Final answer
    x = 305,956.91

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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.