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Finding the Fourth Proportional to 470,419.25, 705,210.57 and 204,034.41

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Solution

The fourth proportional to 470,419.25, 705,210.57 and 204,034.41 is: 305,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,419.25 : 705,210.57 = 204,034.41 : x
  2. Step 2: Convert to fraction form
    470,419.25/705,210.57 = 204,034.41/x
  3. Step 3: Cross multiply
    470,419.25x = 705,210.57 × 204,034.41
  4. Step 4: Simplify right side
    470,419.25x = 143,887,222,575.71
  5. Step 5: Solve for x
    x = 143,887,222,575.71/470,419.25
  6. Step 6: Final answer
    x = 305,870.19

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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.