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Finding the Fourth Proportional to 470,603.72, 649,437.29 and 255,743.79

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Solution

The fourth proportional to 470,603.72, 649,437.29 and 255,743.79 is: 352,928.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,603.72 : 649,437.29 = 255,743.79 : x
  2. Step 2: Convert to fraction form
    470,603.72/649,437.29 = 255,743.79/x
  3. Step 3: Cross multiply
    470,603.72x = 649,437.29 × 255,743.79
  4. Step 4: Simplify right side
    470,603.72x = 166,089,552,633.21
  5. Step 5: Solve for x
    x = 166,089,552,633.21/470,603.72
  6. Step 6: Final answer
    x = 352,928.69

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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.