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Finding the Fourth Proportional to 470,574, 705,464.10 and 204,133.86

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Solution

The fourth proportional to 470,574, 705,464.10 and 204,133.86 is: 306,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,574 : 705,464.10 = 204,133.86 : x
  2. Step 2: Convert to fraction form
    470,574/705,464.10 = 204,133.86/x
  3. Step 3: Cross multiply
    470,574x = 705,464.10 × 204,133.86
  4. Step 4: Simplify right side
    470,574x = 144,009,109,824.43
  5. Step 5: Solve for x
    x = 144,009,109,824.43/470,574
  6. Step 6: Final answer
    x = 306,028.62

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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.