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Finding the Fourth Proportional to 470,513.49, 705,373.47 and 204,073.32

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Solution

The fourth proportional to 470,513.49, 705,373.47 and 204,073.32 is: 305,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,513.49 : 705,373.47 = 204,073.32 : x
  2. Step 2: Convert to fraction form
    470,513.49/705,373.47 = 204,073.32/x
  3. Step 3: Cross multiply
    470,513.49x = 705,373.47 × 204,073.32
  4. Step 4: Simplify right side
    470,513.49x = 143,947,908,507.97
  5. Step 5: Solve for x
    x = 143,947,908,507.97/470,513.49
  6. Step 6: Final answer
    x = 305,937.90

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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.