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Finding the Fourth Proportional to 470,505.51, 649,288.25 and 255,647.11

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Solution

The fourth proportional to 470,505.51, 649,288.25 and 255,647.11 is: 352,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,505.51 : 649,288.25 = 255,647.11 : x
  2. Step 2: Convert to fraction form
    470,505.51/649,288.25 = 255,647.11/x
  3. Step 3: Cross multiply
    470,505.51x = 649,288.25 × 255,647.11
  4. Step 4: Simplify right side
    470,505.51x = 165,988,667,208.23
  5. Step 5: Solve for x
    x = 165,988,667,208.23/470,505.51
  6. Step 6: Final answer
    x = 352,787.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.