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Finding the Fourth Proportional to 470,684.69, 649,548.83 and 255,824.70

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Solution

The fourth proportional to 470,684.69, 649,548.83 and 255,824.70 is: 353,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,684.69 : 649,548.83 = 255,824.70 : x
  2. Step 2: Convert to fraction form
    470,684.69/649,548.83 = 255,824.70/x
  3. Step 3: Cross multiply
    470,684.69x = 649,548.83 × 255,824.70
  4. Step 4: Simplify right side
    470,684.69x = 166,170,634,570.10
  5. Step 5: Solve for x
    x = 166,170,634,570.10/470,684.69
  6. Step 6: Final answer
    x = 353,040.24

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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.