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Finding the Fourth Proportional to 470,567.91, 705,455.02 and 204,127.71

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Solution

The fourth proportional to 470,567.91, 705,455.02 and 204,127.71 is: 306,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,567.91 : 705,455.02 = 204,127.71 : x
  2. Step 2: Convert to fraction form
    470,567.91/705,455.02 = 204,127.71/x
  3. Step 3: Cross multiply
    470,567.91x = 705,455.02 × 204,127.71
  4. Step 4: Simplify right side
    470,567.91x = 144,002,916,719.97
  5. Step 5: Solve for x
    x = 144,002,916,719.97/470,567.91
  6. Step 6: Final answer
    x = 306,019.42

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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.