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Finding the Fourth Proportional to 470,505.74, 649,300.32 and 255,646.35

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Solution

The fourth proportional to 470,505.74, 649,300.32 and 255,646.35 is: 352,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,505.74 : 649,300.32 = 255,646.35 : x
  2. Step 2: Convert to fraction form
    470,505.74/649,300.32 = 255,646.35/x
  3. Step 3: Cross multiply
    470,505.74x = 649,300.32 × 255,646.35
  4. Step 4: Simplify right side
    470,505.74x = 165,991,256,861.83
  5. Step 5: Solve for x
    x = 165,991,256,861.83/470,505.74
  6. Step 6: Final answer
    x = 352,793.27

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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.