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Finding the Fourth Proportional to 470,653.59, 649,506.06 and 255,793.62

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Solution

The fourth proportional to 470,653.59, 649,506.06 and 255,793.62 is: 352,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,653.59 : 649,506.06 = 255,793.62 : x
  2. Step 2: Convert to fraction form
    470,653.59/649,506.06 = 255,793.62/x
  3. Step 3: Cross multiply
    470,653.59x = 649,506.06 × 255,793.62
  4. Step 4: Simplify right side
    470,653.59x = 166,139,506,299.34
  5. Step 5: Solve for x
    x = 166,139,506,299.34/470,653.59
  6. Step 6: Final answer
    x = 352,997.43

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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.